Question

What is the limit as x approaches 0 of (cotxsinx-1)/x

Answer 1

\(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~0}\frac{\cot(x)\sin(x)-1}{x}}\) like this?

Answer 2

\(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~0}\frac{\cot(x)\sin(x)-1}{x}}\)

\(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~0}\frac{\cos(x)-1}{x}}\)

then this is one of those theorems...

Answer 3

yea

Answer 4

yea I got to dat so what is the answer?

Answer 5

The rule is, \(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~0}\frac{1-\cos(x)}{x}=0}\)

Answer 6

YES!!!!

Answer 7

and cos(x)-1 is same as 1-cos(x) but times -1.

Answer 8

Then I got the answer right

Answer 9

:)
very ncie!

Answer 10

It came out in my test today

Answer 11

ncie ? lol ...
nice...!

Answer 12

Thank u

Answer 13

yes, they are tricky at times.... just noticing the simplest approach, is the task:)

Answer 14

yw

Answer 15

yep