MCQ
$\lim_{x \rightarrow 0^+}\ \ \frac{tanx+tan^2x+tan^3x+tan^4x+.........+\infty}{\pi x}=$..............
- ✓$\frac{1}{\pi }$
- B$\frac{1}{{{\pi }^{n}}}$
- C$\pi $
- D$0$
$\lim_{x \rightarrow 0^+}\frac{\tan x+\tan^2x+\tan^3x+.....\infty}{\pi x}$
અનંત સમગુણોતર શ્રેણી $because \frac{a}{r-1}$ જ્યાં $0 < r < 1$
$\lim_{x \rightarrow 0}\frac{\frac{\tan x}{1-\tan x}}{\pi x}$
$=\lim_{x \rightarrow 0}\left\{\frac{\left(\frac{\tan x}{x}\right)}{\left(1-\tan x\right)\pi}\right\}$
$=1\cdot \frac{1}{\pi}$
$=\frac{1}{\pi}$
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