Question Description

I’m working on a mathematics question and need guidance to help me learn.

8 attachmentsSlide 1 of 8attachment_1attachment_1attachment_2attachment_2attachment_3attachment_3attachment_4attachment_4attachment_5attachment_5attachment_6attachment_6attachment_7attachment_7attachment_8attachment_8

Unformatted Attachment Preview

1. [-/6 Points]

DETAILS

SCALCET9 2.3.001.

Given that

lim f(x) = 4

lim g(x) = -2

lim h(x) = 0,

X 1

X→ 1

x 1

find each limit, if it exists. (If an answer does not exist, enter DNE.)

(a) lim [F(x) + 49(x)]

X-1

(b) lim [g(x)]

X=1

(c)

lim F(x)

X-1

(d) lim

5f(x)

x-1 g(x)

(e) lim g(x)

x-1 h(x)

(f)

lim

x1

g(x)h(x)

f(x)

Na Land

Read

Watch It

2. [-16 Points]

DETAILS

SCALCET9 2.3.002.

The graphs of fand g are given. Use them to evaluate each limit, if it exists. (If an answer does not exist, enter DNE.)

у

у

y=f(x)

y=g(x)

1

Wh

► x

1

(a) lim [f(x) + g(x)]

X→2

(b) lim [f(x) = g(x)]

x-0

(c)

lim [F(x)g(x)]

x-1

F(X)

(d) lim

X-3 g(x)

(e) im, x?F(x)]

X2

(f) f(-1) + lim g(x)

X-1

Need Help?

Read It

hient-Responses/last?dep=28710023#Q1

3. [-11 Points]

DETAILS

SCALCET9 2.XP.3.002.

Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.)

lim (4×3 – 2x² +

+ x – 4)

x 3

Need Help?

Read It

Watch It

4. [-/1 Points]

DETAILS

SCALCET9 2.XP.3.005.

Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.)

A – 2

lim

t -2 21²

3t + 5

Need Help?

Read It

Watch It

5. [-/1 Points]

DETAILS

SCALCET9 2.XP.3.006.

Evaluate the limit using the appropriate Limit Law(s), (If an answer does not exist, enter DNE.)

lim vu

04

+ 30 + 15

07-5

Watch It

Need Help?

Read it

6. [-/1 Points]

DETAILS

SCALCET9 2.XP.3.007.

Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.)

lim (2 + x)(4 – 5×2 + x)

+

X8

Need Help?

Read It

Watch It

7. [-/1 Points]

DETAILS

SCALCET9 2.XP.3.008.

Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.)

lim

t-2

+2

2

– 7

23 – 8t + 6.

Need Help?

Read It

8. [-/1 Points]

DETAILS

SCALCET9 2.XP.3.009.

Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter. DNE.)

lim

5x² + 5

5x – 1

X-2

Need Help?

Read It

Watch it

9. [-12 Points]

DETAILS

SCALCET9 2.3.010.

(a) What is wrong with the following equation?

x2 +

+ x – 42

= x + 7

X – 6

O (X – 5)(x + 7) = x2 + + X – 42

O The left-hand side is not defined for x = 0, but the right-hand side is.

O The left-hand side is not defined for x = 6, but the right-hand side is.

O None of these – the equation is correct.

(b) In view of part (a), explain why the following equation is correct.

x² + x

lim

EX- 42

lim

(x + 7)

X 6

x – 6

X 6

x² + x – 42

+ X

Since

and x + 7 are both continuous, the equation follows.

X – 6

Since the equation holds for all x + 6, it follows that both sides of the equation approach the same limit as x — 6.

O This equation follows from the fact that the equation in part (a) is correct.

O None of these – the equation is not correct.

Need Help?

Read It

10. [-/1 Points]

DETAILS

SCALCET9 2.XP.3.012.

Find the limit. (If an answer does not exist, enter DNE.)

x² – 9x + 18

lim

X 3 x – 3

Watch It

Need Help?

Read It

11. [-/1 Points]

DETAILS

SCALCET9 2.3.021.MI.

Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)

(h – 4)2 – 16

lim

h – 0

h

Need Help?

Read It

Watch It

Master It

Submit Answer

12. [-16 Points]

DETAILS

SCALCET9 2.XP.3.015.MI.SA.

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the

Tutorial Exercise

Find the limit.

lim (8 + h) 3 – 512

h-0

h

Click here to begin!

Need Help?

Read It

13. [-/1 Points]

DETAILS

SCALCET8 2.3.020.

Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.).

4 + h – 2

lim

h – 0

h

Need Help?

Read It

14. [-/1 Points]

DETAILS

SCALCET9 2.3.028.

Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)

1 (

(-

lim

t-0

t

2 + t

Need Help?

Read It

Watch It

DETAILS

15. [-/6 Points]

SCALCET9 2.3.037.

A graphing calculator is recommended.

Use the Squeeze Theorem to show that lim x2 cos(19nx) = 0.

X

of my mia M Student

n RTAA T Main M Add or

S Main

MO MTH 1 Module on https://

The We google

b What to Google I studyp Wayne S Dashbe 23 Minds

G

@ https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28710023#01

[-16 Points]

DETAILS

SCALCET9 2.3.037.

MY NOTES

ASK YOUR TEACHER

A graphing calculator is recommended.

Use the Squeeze Theorem to show that lim x2 cos(191x) = 0.

X-0

Illustrate by graphing the functions f(x) = -x?, g(x) = x2 cos(191x), and h(x) = x2 on the same screen.

Let f(x) = -x2, g(x) = x2 cos(191x), and h(x) = x2. Then ? vs cos(191x) 2M 12v

sx? cos(197x)

Since lim f(x) = lim h(x) =

X-0 X-0

by the Squeeze Theorem we have lim g(x) =

X-0

Need Help?

Read It

Watch It

16. [-/1 Points]

DETAILS

SCALCET9 2.3.039.MI.

F

MY NOTES

ASK YOUR TEACHER

If 3x – 4 s f(x) S x2 – 3x + 5 for x 20, find lim f(x).

X-3

Need Help?

Read it

Watch It

Master it

MY NOTES

ASK YOUR TEACHER

PRA

17. [-/1 Points]

DETAILS

SCALCET9 2.3.040.

If 2x 5 g(x) s x4 – x2 + 2 for all x, evaluate tim g(x).

メー1

Need Help?

Read It

Submit Assignment

Save Assignment Progress

msi

Purchase answer to see full

attachment

Explanation & Answer:

17 Questions

Tags:

mathematics

Math Problems

Calculating Limits

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool’s honor code & terms of service.

## Reviews, comments, and love from our customers and community:

This page is having a slideshow that uses Javascript. Your browser either doesn't support Javascript or you have it turned off. To see this page as it is meant to appear please use a Javascript enabled browser.