Question

Prove le="\lim_{x \to 0} \frac{sin x}{x} = 1" alt="\lim_{x \to 0} \frac{sin x}{x} = 1" align="absmiddle" class="latex-formula">

Answer 1

Answer:

See below.

Step-by-step explanation:

sin x / x.

You can prove this by L'Hopitals Rule.

If x = 0 then the function = 0/0 so the above rule is applicable here.

Differentiating top and bottom we get cos x / 1  = cos x.

Limit x --> 0 of cos x = 1 so it is proved.