\( \lim _{x \rightarrow 0} \frac{\cos (\sin x)-\cos x}{x^{4}} \) is equal to:....
\( \lim _{x \rightarrow 0} \frac{\cos (\sin x)-\cos x}{x^{4}} \) is equal to:
\( \mathrm{P} \)
(1) \( \frac{1}{3} \)
(2) \( \frac{1}{4} \)
(3) \( \frac{1}{6} \)
(4) \( \frac{1}{12} \)
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions
| 2024-01-22 | Match the following.
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multi.... |
| 2024-01-22 | If \( f(x)=\left\{\begin{array}{ll}x^{2}, & x \neq 0 \\ 1, & x=0\end{array}\right. \) then
(1) \.... |
| 2024-01-22 | Rolle's theorem cannot be applied to which of the
following function:.... |
| 2024-01-22 | The point(s) on the curve \( y^{2}=3 x^{2}+2 x \) where the
tangent is vertical, is(are).... |
| 2024-01-22 | Let \( f:[1, \infty) \rightarrow[2, \infty) \) be a differentiable function
such that \( f(1)=2..... |
| 2024-01-22 | If the normal to the curve \( y=f(x) \) at the point \( (3,4) \)
makes an angle \( \frac{{ }^{\p.... |
| 2024-01-22 | If the volume of a cube is increasing at the rate of 15
\( \mathrm{cm}^{3} / \mathrm{min} \). Wh.... |
| 2024-01-22 | The interval where function \( f(x)=e^{x^{2}} \) is increasing
will be:.... |
| 2024-01-22 | Find the rate of change of a circumference of circle
with respect to its radius, when \( r=2 \ma.... |
| 2024-01-22 | The set of all values of a for which \( \lim _{x \rightarrow a}([x-5]- \)
\( [2 x+2])=0 \) where.... |
| 2024-01-22 | \( \lim _{x \rightarrow 0} \frac{\cos (\sin x)-\cos x}{x^{4}} \) is equal to:.... |
| 2024-01-22 | \( \lim _{x \rightarrow 0} \frac{\sin ^{2}\left(\pi \cos ^{4} x\right)}{x^{4}} \) is equal to:.... |
| 2024-01-22 | Match the following
\begin{tabular}{|c|c|c|c|}
\hline & Column I & & Column II \\
\hline (A) & \.... |
| 2024-01-22 | \( \lim _{n \rightarrow \frac{1}{\sqrt{2}}} \frac{\sin \left(\cos ^{-1} n\right)-n}{1-\tan \left.... |
| 2024-01-22 | The value of \( \lim _{x \rightarrow 1} \frac{\left(x^{2}-1\right) \sin ^{2}(\pi x)}{x^{4}-2 x^{.... |
| 2024-01-22 | The number of point where the function \( f: R \rightarrow R f(x) \)
\( =|x-1| \cos |x-2| \sin |.... |
| 2024-01-22 | Let \( [x] \) denote the greatest integer function and \( f(x)= \)
\( \max \{1+x+[x], 2+x, x+2[x.... |
| 2024-01-22 | Let \( \beta=\lim _{x \rightarrow 0} \frac{a x-\left(e^{3 x}-1\right)}{a x\left(e^{3 x}-1\right).... |
| 2024-01-22 | Let \( f, g \) and \( h \) be the real valued function defined on
\( R \) as \( f(x)=\left\{\beg.... |
| 2024-01-22 | Let the function
\[
f(x)=\left\{\begin{array}{cr}
\frac{\log e(1+5 x)-\log (1+a x)}{x}, \text { .... |
| 2024-01-22 | \[
\lim _{x \rightarrow \infty} \frac{(\sqrt{3 x+1}+\sqrt{3 x-1})^{6}+(\sqrt{3 x+1}-\sqrt{3 x-1}.... |
0