લક્ષની કિંમત શોધો: $\mathop {\lim }\limits_{x \to \infty } [x({a^{1/x}} - 1)]$,જ્યાં $a > 1$.

  • A
    $\log x$
  • B
    $1$
  • C
    $0$
  • D
    $\log a$

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$\lim _{n \rightarrow \infty}\left(1+\frac{1+\frac{1}{2}+\ldots+\frac{1}{n}}{n^{2}}\right)^{n} = \dots$

જો $0 \leq x \leq \pi / 2$ હોય,તો $\lim _{x \rightarrow a} \frac{|2 \cos x-1|}{2 \cos x-1}$

વિધાન $(A)$: $\lim _{x \rightarrow 0} \frac{1}{x} = \infty$
કારણ $(R)$: જેમ $x$ ની કિંમત ઘટે છે,તેમ $\frac{1}{x}$ ની કિંમત વધે છે.

$\mathop {\lim }\limits_{x \to 0} \frac{{{{\left( {1 - \cos 2x} \right)}^2}}}{{2x\tan x - x\tan 2x}}$ ની કિંમત શોધો.

$\mathop {\lim }\limits_{x \to 0} \left( {\frac{{{a^x} - {b^x}}}{x}} \right) = $

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