જો $\mathop {\lim }\limits_{x \to 0} \phi (x) = {a^3}, (a \ne 0)$; તો $\mathop {\lim }\limits_{x \to 0} \phi \left( {\frac{x}{a}} \right)$ ની કિંમત શોધો :-

  • A
    $\frac{1}{a^3}$
  • B
    $a^3$
  • C
    $a^2$
  • D
    $\frac{1}{a^2}$

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$\mathop {\lim }\limits_{x \to 1} f(x)$ શોધો,જ્યાં $f(x) = \begin{cases} x^{2}-1, & x \leq 1 \\ -x-1, & x > 1 \end{cases}$

જો $\alpha, \beta$ એ દ્વિઘાત સમીકરણ $ax^2 + bx + c = 0$ ના બીજ હોય,તો $\lim_{x \to \alpha} \frac{1 - \cos(ax^2 + bx + c)}{(x - \alpha)^2}$ ની કિંમત શોધો.

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$\lim_{x \to 0} \frac{\log_{e}(\sec(ex) \cdot \sec(e^{2}x) \cdot ... \cdot \sec(e^{10}x))}{e^{2} - e^{2\cos x}}$ ની કિંમત શોધો.

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