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  • Civil Engg. (GATE) 2010
  • The value of $\lim \limits_{x \rightarrow 0} \frac{sin[\f...
Multiple choice

The value of $\lim \limits_{x \rightarrow 0} \frac{sin[\frac{2}{3}x]}{x}is$

  1. $\frac{2}{3}$
  2. 1

  3. $\frac{1}{4}$
  4. $\frac{1}{2}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Using the limit property lim(x->0) sin(ax)/x = a, we substitute a = 2/3. Thus, the limit is 2/3.

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