Question

Find the limit of the function algebraically.

Answer 1

i get zero but that isnt one of my choices..

Answer 2

Try to factor numerator.

Answer 3

i keep on getting zero @geerky42

Answer 4

i got 0/0

Answer 5

yeah, you will get 0/0 if you do direct substitution, so you would have to do little algebra

what do you get when you factor numerator?

Answer 6

25-25

Answer 7

dont plug in yet. do factor first

Answer 8

(x+5)(x-5)

Answer 9

yep, so you have \(\displaystyle\large\lim_{x\rightarrow5}\dfrac{(x+5)(x-5)}{x-5}\)

what's next?

Answer 10

cancel

Answer 11

so now it is (x+5)

Answer 12

oh wait, plug in?

Answer 13

right!

Answer 14

now you only have x+5, so plug in

Answer 15

so 10 is my answer!(:

Answer 16

that's right

good job :)