The following are the questions I am having trouble understanding. (The answers in the boxes are the correct answers)

"(1 pt) Enter a T or an F in each answer space below to indicate whether the corresponding statement is true or false. A statement is true only if it is true for all possibilities. You must get all of the answers correct to receive credit.

**1.** If

is continuous at

, then

is differentiable at

**2.** **3.** If

and

, then

does not exist

**4.** If

and

, then

does not exist

**5.** "

I have the answers but I was hoping someone could at least briefly explain why each one is true or false.

Any help would be greatly appreciated!

Thanks in advance!