Question

Evaluate the limit as x --> 7 of x-7/x^2-49.

Answer 1

To solve limit problems the first thing you want to do is to plug in for x.

Answer 2

So in this case you would have to plug in 7.

Answer 3

What would this give you?

Answer 4

ummm, 7-7/7^2-49

Answer 5

Correct now solve the equation the rest of the way, what does that give you?

Answer 6

So 7-7= 0 and 49-49 = 0 so 0/0

Answer 7

So the problem is undefined at 7 soo you have to factor the bottom.

Answer 8

What is x^2-49 factor into?

Answer 9

(x+7)(x-7)