Evaluate- x- 0 limsin -cos 2 x x 2 is equal to

The correct option is D π lim_x→ 0sin(π πsin^2x)x^2 =lim_x→ 0sin(πsin^2x)x^2 =lim_x→ 0sin(πsin^2x)(πsin^2x)x^2×πsin^2x=π ...

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

Right Hand Limit

Evaluate: x...

Question

Evaluate: $lim x \to 0 \frac{sin (π {cos}^{2} x)}{x^{2}}$ is equal to

\frac{π}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

π

No worries! We‘ve got your back. Try BYJU‘S free classes today!

π

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

Suggest Corrections

Similar questions

lim x ⟶ 0 \frac{sin (π {cos}^{2} x)}{x^{2}}

f (x) = lim n \to \infty {\frac{x}{1 + {3 {tan}^{2} x}^{n}}}

f (x)

π

f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \begin{matrix} 0, & - \frac{π}{2} < x < - \frac{π}{6} \end{matrix} \begin{matrix} \frac{x}{2}, & x = - \frac{π}{6} \end{matrix} \begin{matrix} x, & - \frac{π}{6} < x < \frac{π}{6} \end{matrix} \begin{matrix} \frac{x}{2}, & x = \frac{π}{6} \end{matrix} \begin{matrix} 0, & \frac{π}{6} < x < \frac{π}{2} \end{matrix} \end{matrix}

\frac{π}{2} \int - \frac{π}{2} sin | x | d x

\int_{- π / 3}^{π / 3} \frac{π + 4 x^{3}}{2 - cos (| x | + \frac{π}{3})} d x

lim x \to 0 (\frac{1 - cos x}{x^{2}})

Join BYJU'S Learning Program