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The value of the limit limx→0 sin2x/x

User Rach
by
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2 Answers

4 votes
Answer

It is undefined.

Explanation

limx—>0 is when the value x tends to 0.

Therefore, substitute x = 0 in the expression sin2x/x.

This results in sin 2•0/0. Any value divided by 0 is undefined.

Correct me if I’m wrong please as I’m not entirely sure.

<~>\_/<~> Ho_odini <~>\_/<~>
User Xiomy
by
6.9k points
6 votes

Answer:

  • 2

Explanation:


\bold{lim_{x\longrightarrow{0}}(sin2x)/(x)}


\bold{lim_{x\longrightarrow{0}}(sin2x)/(x×2)×2}


\bold{2lim_{x\longrightarrow{0}}(sin2x)/(2x)}


  • \bold{2&nbsp;&nbsp; }
User Mvds
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6.2k points