Finding Limits with a Constant: Tips for Calculus Students

[EvilBunny]

Homework Statement

Find in terms of the constant a

Lim h --- > 0

8 (a+h)² - 8a²
-----------------
h

The Attempt at a Solution

I have no idea how to even approach it so some pointers would be nice.
It hasn't been long since I started calculus. I am not sure weather we covered this
or not , classes are so heavy with content and passes quickly :s .

anyways what I am sure we have seen until now is

-IVT
- squeeze
- Limit laws

we have seen some things concerning continuity theorems altho am currently lost in them.

 

[lkh1986]

Well,if you substitute in the value of h=0 directly, then you will get 0/h = 0.
So, why don't you try to expand the numerator? Then, proceed to the operations and eventually, the h at the denominator will be canceled out.

 

[EvilBunny]

well I end up with 16a = something . am giong to look at it more

 

[EvilBunny]

huh.. well the answer Is 16a altho I don't really understand it.

 

[EvilBunny]

Ooo I get it now well thanks for your time.