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2 votes
Prove
\lim_(x \to 0) (sin x)/(x) = 1

User Ronell
by
7.9k points

1 Answer

4 votes

Answer:

See below.

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.

User Lars Andren
by
8.3k points

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