# Moscow State University Find the Limit Using Equivalent Mathematics Questions

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1) Cauchy Definitions of Limit (ε−δ−definition) lim f ( x) = A
x→+
2) Formal
y = tgx
3)Find
Definition of the Derivative and Using the definition of derivative Find the derivatives
the limit using equivalent
ln ( cos x )
lim
x→0 5
1 + 2 x2 − 1
3) Find the derivatives
(
y = sin ( x −1 )
4)
)
sin x
ln x
Find the second derivative y”xx of the parametric function
cos x
+ arcsin 4 x +
2
y = t sin t , x = t + 1
5)
Find the integral using integration by parts  sin x  ln( tgx)dx
6)
Find the integral

(x
dx
2
+ 1)
2

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Tags:
mathematics function

derivative

find the limit

parametric function

find the integral

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