Question

Lim sinx/x = 0 ?
x--> -Infiniti

Answer 1

Can you use l'Hospital's rule?

Answer 2

Nope , our teacher wants us to use only rules which we have studied yet

Answer 3

Use squeeze theorem.

Answer 4

Ok let me try

Answer 5

It's a finite quantity divided by infinity, what do you think?

Answer 6

Oh i took the limit as x my mistake^^

Answer 7

Or maybe 1 and -1 felt really brave one day and gave negative infinity a run for its money.

Answer 8

Here is a hint: \(-1 \leq \sin(x)\leq 1\)

Answer 9

So its 0

Answer 10

I got that far ,then divide by x and substitute

Answer 11

Either its 0 or im retarded

Answer 12

Please dont tell me its the second

Answer 13

Okay, since \(x\) will be negative, when you divide by \(x\) the inequalities flip.

Answer 14

But yes, it does go to \(0\).

Answer 15

Dont you mean divide1 by x

Answer 16

You divide the entire inequality. All things are divided by \(x\).

Answer 17

\[
\frac 1x \leq \frac{\sin(x)}x\leq -\frac 1x
\]