Using \( \lim _{x \rightarrow a}\left(\frac{x^{n}-a^{n}}{x-a}\right)=n a^{n-1} \), answer the fo....

Channel:
PW Solutions
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=IDPt-erHoGI


Duration: 2:30
0 views
0

Using \( \lim _{x \rightarrow a}\left(\frac{x^{n}-a^{n}}{x-a}\right)=n a^{n-1} \), answer the following
\( \mathrm{P} \)
questions.
\( \lim _{x \rightarrow 1}\left(\frac{x^{1 / 3}+x^{1 / 2}+x^{3 / 2}-3}{x^{3}-1}\right) \) is
(1) \( \frac{2}{3} \)
(2) \( \frac{7}{9} \)
(3) \( \frac{1}{3} \)
(4) \( \frac{1}{9} \)


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



Other Videos By PW Solutions


2024-01-23Which of the following sentence is not a statement?....
2024-01-23Which of the following sentence is a statement?....
2024-01-23If \( y \sqrt{1-x^{2}}=k-x \sqrt{1-y^{2}} \) and \( y\left(\frac{1}{2}\right)=-\frac{1}{4} \), t....
2024-01-23Which of the following sentence is not a statement?....
2024-01-23Which of the following sentence is a statement?....
2024-01-23If \( f(1)=1 \) and \( f^{\prime}(1)=2 \), then \( \lim _{x \rightarrow 1} \frac{\sqrt{f(x)}-1}{....
2024-01-23Let \( f(x)=e^{\sin x}+(\tan x)^{x} \). Answer the following questions. \( f^{\prime}\left(\frac....
2024-01-23Suppose \( f: R \rightarrow R \) is a differentiable function and \( f(1)=4 \). If \( \lim _{x \....
2024-01-23Let \( f(x)=e^{\sin x}+(\tan x)^{x} \). Answer the following questions. \( f^{\prime}\left(\frac....
2024-01-23Let \( f(x) \) be a polynomial function satisfying \( f(x)+f\left(\frac{1}{x}\right)=f(x) f\left....
2024-01-23Using \( \lim _{x \rightarrow a}\left(\frac{x^{n}-a^{n}}{x-a}\right)=n a^{n-1} \), answer the fo....
2024-01-23Using \( \lim _{x \rightarrow a}\left(\frac{x^{n}-a^{n}}{x-a}\right)=n a^{n-1} \), answer the fo....
2024-01-23Let \( f(x)=e^{\sin x}+(\tan x)^{x} \). Answer the following questions. \( f^{\prime}\left(\frac....
2024-01-23If a curve is given by \( x=a \cos t+\frac{b}{2} \cos 2 t \) and \( y=a \sin t+\frac{b}{2} \sin ....
2024-01-23If \( f(x)=x^{3}+x^{2} f^{\prime}(1)+x f^{\prime \prime}(2)+f^{\prime \prime \prime}(3) \) for a....
2024-01-23The differential coefficient of \( a^{\log _{10} \operatorname{cosec}^{-1} x} \), is....
2024-01-23Let \( x=2 \sin \theta-\sin 2 \theta \) and \( y=2 \cos \theta-\cos 2 \theta \), then \( \left(\....
2024-01-23If \( f(x)=\left(\frac{x}{3+x}\right)^{x} \), then....
2024-01-23If \( y=\tan ^{-1}\left\{\frac{\log \left(\frac{e}{x^{2}}\right)}{\log \left(e x^{2}\right)}\rig....
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^{....