mathop {lim }limits_{x to 0} frac{{2{{sin }^2 | vedclass

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Question

(C) આપણે જાણીએ છીએ કે $\mathop {\lim }\limits_{	heta 	o 0} \frac{{\sin 	heta }}{	heta } = 1$. આપેલ પદ $\mathop {\lim }\limits_{x 	o 0} \frac{{2{{

Vedclass · Accepted Answer

$18$

Vedclass · Answer

(C) આપણે જાણીએ છીએ કે $\mathop {\lim }\limits_{	heta 	o 0} \frac{{\sin 	heta }}{	heta } = 1$. આપેલ પદ $\mathop {\lim }\limits_{x 	o 0} \frac{{2{{\sin }^2}3x}}{{{x^2}}}$ છે. $= 2 	imes \mathop {\lim }\limits_{x 	o 0} \left( \frac{{\sin 3x}}{x} ight)^2$. $= 2 	imes \mathop {\lim }\limits_{x 	o 0} \left( 3 	imes \frac{{\sin 3x}}{{3x}} ight)^2$. $= 2 	imes 3^2 	imes \left( \mathop {\lim }\limits_{3x 	o 0} \frac{{\sin 3x}}{{3x}} ight)^2$. $= 2 	imes 9 	imes (1)^2 = 18$.

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

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$\mathop {\lim }\limits_{x \to 1} \frac{{{x^2} - 1}}{{{{\sin }^2}x + \cos x \cos (x + 2) - {{\cos }^2}(x + 1)}}$ ની કિંમત શોધો.

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

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