প্রমাণ কর যে, $\lim_{x \to 0} \frac{1 - c o s x}{x} = 0$

Created: 1 year ago | Updated: 1 year ago

Updated: 1 year ago

Written এ La Hospital rule প্রয়োগ করা যাবে না।

$\lim_{x \to 0} \frac{1 - c o s x}{x}$

$= \lim_{x \to 0} \frac{2 s i n^{2} \frac{x}{2}}{x}$

$= \lim_{x \to 0} 2 {(\frac{\sin \frac{x}{2}}{\frac{x}{2}})}^{2} \times \frac{1}{4} \times x$

$= 0 [Proved]$

1 year ago

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