\[ f(x)=\left\{\begin{array}{cc} \frac{\tan 10 x-\sin x-\sin 3 x-\tan 2 x-\tan 4 x}{x^{3}}, & x ...

Channel:
PW Solutions
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=CxikLwFCi3A


Duration: 12:37
0 views
0

\[
f(x)=\left\{\begin{array}{cc}
\frac{\tan 10 x-\sin x-\sin 3 x-\tan 2 x-\tan 4 x}{x^{3}}, & x \neq 0 \\
\lambda, & x=0
\end{array}\right.
\]
so find \( \lambda \) so that function becomes continuous at \( x=0 \)
(a) 157
(b) 942
(c) 628
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
šŸŒPW Website - https://www.pw.live



Other Videos By PW Solutions


2023-06-08If \( f(x)=\left\{\begin{array}{cl}\frac{1}{|x|} & ; \quad|x| \geq 1 \\ a x^{2}+b & ; \quad|x|1\...
2023-06-08Let \( f: R \rightarrow R \) be defined as \[ f(x)=\left\{\begin{array}{cc} \frac{x^{3}}{(1-\cos...
2023-06-08Let \( \alpha \in R \) be such that the function is continuous at \( x=0 \), where \( \{x\}=x-[x...
2023-06-08Let \( f: R \rightarrow R \) be a function defined as \[ f(x)=\left\{\begin{array}{cc} \frac{\si...
2023-06-08Let \( g(x) \) be a polynomial, of degree one \( \& f(x) \) be defined by \( f(x)=\left[\begin{a...
2023-06-08If \( f(x)=\| \sin (|x|-1)-2 \mid \) then (a) \( f(x) \) is continuous at \( x=2 \) (b) \( f(x) ...
2023-06-08Let \( f: R \rightarrow R \) be defined as \( f(x)=\left\{\begin{array}{cc}2 \sin \left(-\frac{\...
2023-06-08If \( y=\cos ^{-1} \frac{a+b \cos x}{b+a \cos x}, ba \) then \( \frac{d y}{d x}= \) (a) \( \frac...
2023-06-08If \( f: R \rightarrow R \) is a function define by \[ f(x)=[x-1] \cos \left(\frac{2 x-1}{2}\rig...
2023-06-08Let \( f(x) \) be a function which is differentiable everywhere any number of times and \( f\lef...
2023-06-08\[ f(x)=\left\{\begin{array}{cc} \frac{\tan 10 x-\sin x-\sin 3 x-\tan 2 x-\tan 4 x}{x^{3}}, & x ...
2023-06-08Find number of points of non-differentiability of \( f(x)=\lim _{n \rightarrow \infty} \frac{\le...
2023-06-08\( y=\sqrt[3]{\frac{x-5}{\sqrt[5]{x^{2}+4}}} \) find \( 60 \sqrt[3]{25 \sqrt[5]{4}} f^{\prime}(0) \)
2023-06-08Let \( f(n)=1-4 \sin ^{2} \frac{\pi}{3 \cdot 2^{n}} \) be a function and \( T_{k}=\prod_{n=2}^{k...
2023-06-08If \( f(x)=[\ln x] \operatorname{sgn}\left(\{x\}-\frac{1}{2}\right) \) where \( 1 \leq x \leq 4 ...
2023-06-08If \( f(x)=x\left|x^{2}-3 x\right| e^{|x-3|}+\left[\frac{\pi+\operatorname{sgn}\left(x^{2}-16\ri...
2023-06-08\( \mathrm{f}(\mathrm{x})=[\sqrt{x}] \) for \( \mathrm{x} \in[1,50] \) where \( [\cdot] \) is th...
2023-06-08If \( f(x)=\left\{\begin{array}{cl}x^{a} \sin \left(\frac{1}{x}\right) & \forall x \neq 0 \\ 0 &...
2023-06-08Amongst the following functions, a function that is differentiable at \( x=0 \) is (a) \( \cos (...
2023-06-08If \( \frac{f(x+y)}{x+y}-\frac{f(x-y)}{x-y}=4 x y \forall x, y, f(1)=2 \) so find \( f(2) \). (a...
2023-06-08Le t \( \quad y_{n}(x)=x^{2}+\frac{x^{2}}{1+x^{2}}+\frac{x^{2}}{\left(1+x^{2}\right)^{2}}+\ldots...