$\mathop {Limit}\limits_{x \to 0} {(\cos 2x)^{3/x^2}}$ ની કિંમત . . . . . . છે.

$\lim _{x \rightarrow 0} \frac{4^x-9^x}{x(4^x+9^x)}$ ની કિંમત શોધો.

$\mathop {\lim }\limits_{\alpha \to \beta } \left[ {\frac{{{{\sin }^2}\alpha - {{\sin }^2}\beta }}{{{\alpha ^2} - {\beta ^2}}}} \right] = $

જો $f(x)=3 x^{15}-5 x^{10}+7 x^5+50 \cos (x-1)$ હોય,તો $\lim _{h \rightarrow 0} \frac{f(1-h)-f(1)}{h^3+3 h}=$

જો $l_1 = \lim_{x \rightarrow 2^{+}} (x + [x])$,$l_2 = \lim_{x \rightarrow 2^{-}} (2x - [x])$ અને $l_3 = \lim_{x \rightarrow \pi/2} \frac{\cos x}{x - \pi/2}$ હોય,તો:

$\mathop {\lim }\limits_{x \to a} \frac{{\log (x - a)}}{{\log ({e^x} - {e^a})}}$ નું મૂલ્ય શું છે?