Find the following limits. \lim_{h\to0}\frac{|-1+h|-1}{h}

Rui Baldwin

Rui Baldwin

Answered question

2021-10-14

Find the following limits.
limh0|1+h|1h

Answer & Explanation

pivonie8

pivonie8

Skilled2021-10-15Added 91 answers

limh0|1+h|1h
On simplification, we get
limh0|1+h||1|h
Now comparing with limh0f(a+h)f(a)h, we get
a=-1 f(x)=|x|
Now,
f(x)=x
f(X)=1
Now,
limh0|1+h|1h=limh0|1+h||1|h
=f(1)
=1

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?