How do you find the limit lim_(h rightarrow 0)((4+h)^2-16)/h ?

postkortidvi

postkortidvi

Answered question

2023-03-24

How to find the limit lim h 0 ( 4 + h ) 2 - 16 h ?

Answer & Explanation

preamkjeibu2

preamkjeibu2

Beginner2023-03-25Added 4 answers

Let us look at some details.
lim h 0 ( 4 + h ) 2 - 16 h
by multiplying out the numerator,
= lim h 0 16 + 8 h + h 2 - 16 h
by cancelling out 16's,
= lim h 0 8 h + h 2 h
by subtracting h from the numerator,
= lim h 0 h ( 8 + h ) h
by cancelling out h's,
= lim h 0 ( 8 + h ) = 8 + 0 = 8

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