Which of the following limits equals ?

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Which of the following limits equals 11? (a) lim⁡x→01−cos⁡(7x)x2\displaystyle \lim_{x\to 0} \frac{1-\cos(7x)}{x^{2}} (b) lim⁡x→01−cos⁡(7x)x\displaystyle \lim_{x\to 0} \frac{1-\cos(7x)}{x} (c) lim⁡x→0sin⁡(7x)7x\displaystyle \lim_{x\to 0} \frac{\sin(7x)}{7x} (d) lim⁡x→0sin⁡(7x)x\displaystyle \lim_{x\to 0} \frac{\sin(7x)}{x}

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