If the normal to the curve \( y=f(x) \) at \( x=0 \) be given by the equation \( 3 x-y+3=0 \), t....

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=YEFlbAVgO3E



Duration: 3:09
1 views
0


If the normal to the curve \( y=f(x) \) at \( x=0 \) be given
\( \mathrm{P} \)
by the equation \( 3 x-y+3=0 \), then the value of
W
\( \lim _{x \rightarrow 0} x^{2}\left\{f\left(x^{2}\right)-5 f\left(4 x^{2}\right)+4 f\left(7 x^{2}\right)\right\}^{-1} \), is
(1) \( \frac{1}{3} \)
(2) \( -\frac{1}{3} \)
(3) \( -\frac{1}{5} \)
(4) \( \frac{1}{4} \)


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-23The \( \lim _{x \rightarrow 0} x^{8}\left[\frac{1}{x^{3}}\right] \) (where \( [x] \) is greatest....
2024-01-23\( \lim _{x \rightarrow \infty}\left\{\frac{1^{2}}{1-x^{3}}+\frac{3}{1+x^{2}}+\frac{5^{2}}{1-x^{....
2024-01-23If \( y=\sqrt{\frac{2(\tan \alpha+\cot \alpha)}{1+\tan ^{2} \alpha}+\frac{1}{\sin ^{2} \alpha}} ....
2024-01-23If \( y=\sqrt{x+\sqrt{y+\sqrt{x+\sqrt{y+\ldots \infty}}}} \), then \( \frac{d y}{d x} \) is equa....
2024-01-23Let \( g(x)=\log f(x) \), where \( f(x) \) is twice differentiable positive function on \( (0, \....
2024-01-23If \( f(x)=x^{n} \), then the value of \[ f(1)-\frac{f^{\prime}(1)}{1 !}+\frac{f^{\prime \prime}....
2024-01-23Let \( f(x) \) be a differentiable function such that \( f^{\prime}(x)=\sin x+\sin 4 x \cos x \)....
2024-01-23If \( f(x)=|x|^{|\sin x|} \), then \( f^{\prime}\left(-\frac{\pi}{4}\right) \) equals....
2024-01-23For each \( t \in R \), let \( [t] \) denote the greatest integer less than or equal to \( t \).....
2024-01-23Let \( a=\min \left\{x^{2}+2 x+3: x \in R\right\} \) and \( b=\lim _{\theta \rightarrow 0} \frac....
2024-01-23If the normal to the curve \( y=f(x) \) at \( x=0 \) be given by the equation \( 3 x-y+3=0 \), t....
2024-01-23If \( f(x)=\lim _{n \rightarrow \infty} \sum_{r=0}^{n} \frac{\tan \frac{x}{2^{r+1}}+\tan ^{3} \f....
2024-01-23Match the points in List-I with their octants in List-II \begin{tabular}{|l|l|l|l|} \hline & Lis....
2024-01-23The largest value of the non-negative integer \( a \) for which \( \lim _{\alpha \rightarrow 1}\....
2024-01-23The value of \( \lim _{x \rightarrow a}\left[\left\{\left(\frac{\sqrt{a}+\sqrt{x}}{a^{1 / 4}-x^{....
2024-01-23The value of \( \lim _{x \rightarrow 0}\left\{\frac{1}{1 \sin ^{2} x}+2^{\frac{1}{\sin ^{2} x}}+....
2024-01-23If [.] denotes the greatest integer function, then \( \lim _{x \rightarrow 0} \frac{\tan \left(\....
2024-01-23\( \lim _{x \rightarrow \infty}\left\{\left(\frac{x}{x+1}\right)^{a} a+\sin \frac{1}{x}\right\}^....
2024-01-23Let \( f: R \rightarrow R \) be such that \( f(1)=3 \) and \( f^{\prime}(1)=6 \). Then, \( \lim ....
2024-01-23Distance of point \( P \) from origin is 7 units from \( x \)-axis is \( \sqrt{13} \) units and ....
2024-01-23If \( \alpha \) and \( \beta \) are the roots of the equation \( a x^{2}+b x+c=0 \), then \( \li....