Prove that :
\[
\lim _{x \rightarrow 0^{+}} \frac{x}{|x|}=1
\]
(ii)...
Prove that :
\[
\lim _{x \rightarrow 0^{+}} \frac{x}{|x|}=1
\]
(ii) \( \lim _{x \rightarrow 0^{-}} \frac{x}{|x|}=-1 \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2023-02-14 | The non zero value of \( a \) for which the lines \( 2 x-y+ \)
P \( 3 z+4=0=a x+y-z+2 \) and \... |
2023-02-14 | Find the derivative of the following from first principles:
\[
x^{2... |
2023-02-14 | If the system of equations, \( x+2 y-3 z=1 \),
P \( (\mathrm{k}+3) \mathrm{z}=3,(2 \mathrm{k}+1)... |
2023-02-14 | If \( f(x)=x^{2}-3 x+4 \), find the value of \( x \) for which the ... |
2023-02-14 | A block of mass \( M \) is kept on a smooth surface and touches the two springs as shown in the ... |
2023-02-14 | A particle moving on \( x \)-axis has potential energy \( U=2-20 x+5 x^{2} \) joule along \( x \... |
2023-02-14 | If \( f(x)=x^{2}-4 x+3 \), find the value of \( x \) for which the ... |
2023-02-14 | A solid cube of side \( a \) and density \( \rho_{0} \) floats on the surface of a liquid of den... |
2023-02-14 | Find the derivative of the following from first
principles :
\[
\ta... |
2023-02-14 | A body performs simple harmonic oscillations along the straight line \( A B C D E \) with \( C \... |
2023-02-14 | Prove that :
\[
\lim _{x \rightarrow 0^{+}} \frac{x}{|x|}=1
\]
(ii)... |
2023-02-14 | \[
\left|\begin{array}{ccc}
b^{2}+c^{2} & a^{2} & a^{2} \\
b^{2} & c^{2}+a^{2} & b^{2} \\
c^{2} ... |
2023-02-14 | Prove that:
\[
\begin{array}{l}
\lim _{x \rightarrow 0} \frac{|x|}{... |
2023-02-14 | Find the foci, vertices, directrices and axes of following parabola... |
2023-02-14 | \( { }_{92} \mathrm{U}^{238} \) एक न्यूट्रॉन अवशोषित करके \( { }_{92} \mathrm{U}^{239} \) में बद... |
2023-02-14 | Find the foci, vertices, directrices and axes of following parabola... |
2023-02-14 | Part of SHM is graphed in the figure. Here, \( y \) is displacement from mean position. The corr... |
2023-02-14 | Evaluate the following limits :
\[
\lim _{x \rightarrow 0} \frac{\s... |
2023-02-14 | एक \( 2.2 \) घन डेसीमीटर कांसे से \( 0.25 \) सेमी. व्यास का बेलनाकार तार बनाया जाता है। तार की ल... |
2023-02-14 | Find all possible values of ' \( a \) ', if :
\[
\lim _{x \rightarr... |
2023-02-14 | Verify that the points \( (3,-2,4),(1,0,-2) \) and \( (-1,2,-8) \) ... |