Question

Use algebra to evaluate the limit.
limh→ 0[(2(5 + h)^2 − 50)/h]

Answer 1

Well, do it! Expand (5+h)^2 and you'll nearly be done.

Answer 2

Expand the binomial in the numerator, simplify, and then you'll be able to just substitute in the h=0.

Answer 3

I got -10 and it said it was incorrect.

Answer 4

Yeah, that's not it. Can you show your work? what did you get when you expanded the numerator?

Answer 5

(2(5 + h)^2 − 50) = ?

Answer 6

i got 20h+2h^2

Answer 7

good. Now divide that by h. What do you get?

Answer 8

20+2h

Answer 9

Right! So you have:

[(2(5 + h)^2 − 50)/h] =20+2h

Now let h->0. What do you get?

Answer 10

Oh, i see what i did! Thank you!

Answer 11

You're welcome! :)