MCQ
$\lim_{x \rightarrow 0}\frac{\sqrt{\frac{1}{2}(1-\cos2x)}}{x}$ ની કિંમત
- A$1$
- B$-1$
- C$0$
- ✓એક પણ નહી.
$\lim_{x \rightarrow 0}\frac{\sqrt{\frac{1}{2}(1-cos2x)}}{x}$
$=\lim_{x \rightarrow 0}\frac{\sqrt{sin^2x}}{x}$
$=\lim_{x \rightarrow 0}\frac{|sinx|}{x}$
$\lim_{x \rightarrow 0^+}\frac{|sinx|}{x}=\lim_{x \rightarrow 0^-}\frac{|sinx|}{x}$
$\lim_{x \rightarrow 0^+}\frac{sinx}{x}=\lim_{x \rightarrow 0^-}-\frac{sinx}{x}$
$1=-1$ તો $f(x)$ નું અસ્તિત્વ નથી.
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