Which of the following limits equals to the derivative of  the function at the point ?

Can limit of at be determined using Composite function theorem?

Can limit of at be determined using Composite function theorem?

Let be a function defined on . Consider the following two statements

P.

Q.

Which of  the following is true? (Multiple answers allowed.)

Find for .

Find a value of such that the function is continuous at 2. 

Find for .

For each of functions select a matching inverse function (functions and options displayed on the projection screen).

Select the expression equivalent to: .

The infimum of a nonempty set always belongs to the set.