lim _x→ 0tan 3xsin 4x=lim_x→0tan 3xx×xsin 4x=lim _x→ 0tan 3xx×lim _x→ 0xsin 4x=34 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Substitution Method to Remove Indeterminate Form

lim x→ 0tan 3...

Question

$lim x \to 0 \frac{t a n 3 x}{s i n 4 x}$

Open in App

Solution

$lim x \to 0 \frac{tan 3 x}{sin 4 x} = lim x \to 0 \frac{tan 3 x}{x} \times \frac{x}{sin 4 x} = lim x \to 0 \frac{tan 3 x}{x} \times lim x \to 0 \frac{x}{sin 4 x} = \frac{3}{4}$

Suggest Corrections

Similar questions

lim x \to 0 \frac{{tan}^{4} x - {sin}^{4} x}{x^{6}}

lim x \to 0 \frac{{tan}^{8} x - {sin}^{8} x}{x^{5} tan x^{5}}

lim x \to 0 \frac{{tan}^{3} x - {sin}^{3} x}{x {sin}^{4} x}

lim x \to 0 \frac{{tan}^{5} x - {sin}^{5} x}{x^{2} . {sin}^{3} x {tan}^{2} x}

\lim_{x \to 0} \frac{\tan 3 x - 2 x}{3 x - \sin^{2} x}

${lim}_{x \to 0} \frac{t a n^{3} x - s i n^{3} x}{x^{5}} =$

lim x \to 0 \frac{tan 3 x - 2 x}{sin 3 x - 3 sin n x}

lim x \to 0 \frac{{tan}^{4} x - {sin}^{4} x}{x^{6}} =

Join BYJU'S Learning Program