## Moscow State University Find the Limit Using Equivalent Mathematics Questions: Mathematics Answers 2021

**Question Title:**

Moscow State University Find the Limit Using Equivalent Mathematics Questions

**Full Question:**

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1) Cauchy Definitions of Limit (????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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