mathop {lim }limits_{theta to 0} frac{{sin 3t | vedclass

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

Question

(B) આપણે લક્ષ્યની કિંમત શોધવાની છે: $\mathop {\lim }\limits_{	heta 	o 0} \frac{{\sin 3	heta - \sin 	heta }}{{\sin 	heta }}$$\sin 3	heta = 3\sin

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(B) આપણે લક્ષ્યની કિંમત શોધવાની છે: $\mathop {\lim }\limits_{	heta 	o 0} \frac{{\sin 3	heta - \sin 	heta }}{{\sin 	heta }}$$\sin 3	heta = 3\sin 	heta - 4\sin^3 	heta$ સૂત્રનો ઉપયોગ કરતા:$= \mathop {\lim }\limits_{	heta 	o 0} \frac{{(3\sin 	heta - 4\sin^3 	heta) - \sin 	heta }}{{\sin 	heta }}$$= \mathop {\lim }\limits_{	heta 	o 0} \frac{{2\sin 	heta - 4\sin^3 	heta }}{{\sin 	heta }}$$= \mathop {\lim }\limits_{	heta 	o 0} (2 - 4\sin^2 	heta)$$= 2 - 4(0)^2 = 2$વૈકલ્પિક રીતે,$\mathop {\lim }\limits_{	heta 	o 0} \frac{{\sin n	heta }}{{\sin 	heta }} = n$ ગુણધર્મનો ઉપયોગ કરતા:$= \mathop {\lim }\limits_{	heta 	o 0} \frac{{\sin 3	heta }}{{\sin 	heta }} - \mathop {\lim }\limits_{	heta 	o 0} \frac{{\sin 	heta }}{{\sin 	heta }}$$= 3 - 1 = 2$

$\mathop {\lim }\limits_{\theta \to 0} \frac{{\sin 3\theta - \sin \theta }}{{\sin \theta }} = $

Similar Questions

લક્ષ $\lim_{x \rightarrow 0} \left(\frac{x}{\sin x}\right)^{6/x^2}$ ની કિંમત શું છે?

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

લક્ષ $\lim _{\theta \rightarrow 0} \frac{\tan (\pi \cos ^{2} \theta)}{\sin (2 \pi \sin ^{2} \theta)}$ ની કિંમત શોધો :

$\lim_{x \rightarrow 0} \frac{\sin(\pi \sin^2 x)}{x^2} = $

$\lim _{x \rightarrow 0} \frac{(1-\cos 2 x)(3+\cos x)}{x \tan 4 x}$ ની કિંમત શોધો.

Vedclass Test Series

Exam Paper Generator

Online Exam Module