lim _{x rightarrow 0} frac{tan ^4 x-sin ^4 x} | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) આપણી પાસે લક્ષ છે: $\lim _{x ightarrow 0} \frac{	an ^4 x-\sin ^4 x}{x^6}$ $\sin ^4 x$ સામાન્ય લેતા: $\lim _{x ightarrow 0} \frac{\sin ^4 x(\s

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(C) આપણી પાસે લક્ષ છે: $\lim _{x ightarrow 0} \frac{	an ^4 x-\sin ^4 x}{x^6}$ $\sin ^4 x$ સામાન્ય લેતા: $\lim _{x ightarrow 0} \frac{\sin ^4 x(\sec ^4 x-1)}{x^6}$ નિત્યસમ $\sec ^4 x - 1 = (\sec ^2 x - 1)(\sec ^2 x + 1) = 	an ^2 x (\sec ^2 x + 1)$ નો ઉપયોગ કરતા: $\lim _{x ightarrow 0} \frac{\sin ^4 x \cdot 	an ^2 x (\sec ^2 x + 1)}{x^6}$ આને આ રીતે લખી શકાય: $\lim _{x ightarrow 0} \left( \frac{\sin x}{x} ight)^4 \cdot \left( \frac{	an x}{x} ight)^2 \cdot (\sec ^2 x + 1)$ કારણ કે $\lim _{x ightarrow 0} \frac{\sin x}{x} = 1$ અને $\lim _{x ightarrow 0} \frac{	an x}{x} = 1$: $= (1)^4 \cdot (1)^2 \cdot (\sec ^2 0 + 1) = 1 \cdot 1 \cdot (1 + 1) = 2$

$\lim _{x \rightarrow 0} \frac{\tan ^4 x-\sin ^4 x}{x^6} = $

Similar Questions

$\mathop {\lim }\limits_{x \to 0} \frac{\sin 2x}{x} = $

$\mathop {\lim }\limits_{x \to 0} \frac{{2{{\sin }^2}3x}}{{{x^2}}} = $

$\mathop {\lim }\limits_{x \to 1} (1 - x)\tan \left( {\frac{{\pi x}}{2}} \right) = $

આપેલ લક્ષની કિંમત શોધો: $\mathop {\lim }\limits_{x \to 0} \frac{\sin ax + bx}{ax + \sin bx}$,જ્યાં $a, b, a+b \neq 0$.

$\lim _{x \rightarrow 1}(1-x) \tan \left(\frac{\pi}{2} x\right) = $

Vedclass Test Series

Exam Paper Generator

Online Exam Module