Finding Limits with a Constant: Tips for Calculus Students

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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.
 
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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.
 
well I end up with 16a = something . am giong to look at it more
 
Last edited:
huh.. well the answer Is 16a altho I don't really understand it.
 
Ooo I get it now well thanks for your time.
 

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