The value of \( \lim _{x \rightarrow \infty}(x+2) \tan ^{-1}(x+2)-\left(x \tan ^{-1} x\right) \)...

Channel:
PW Solutions
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=iStjFsDKC5A


Duration: 8:14
1 views
0

The value of \( \lim _{x \rightarrow \infty}(x+2) \tan ^{-1}(x+2)-\left(x \tan ^{-1} x\right) \) is
(a) \( \frac{\pi}{2} \)
(b) Doesn't exist
(c) \( \frac{\pi}{4} \)
(d) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-10-27The value of \( \lim _{x \rightarrow 0} \sin ^{-1}\{x\} \) (where \( \{\cdot\} \) denotes fracti...
2022-10-27The value of \( \lim _{x \rightarrow 0}\left(\frac{1^{x}+2^{x}+3^{x}+\ldots+n^{x}}{n}\right)^{a ...
2022-10-27The value of \( \lim _{n \rightarrow \infty}\left((15)^{n}+\left[(1+0.0001)^{10000}\right]^{n}\r...
2022-10-27Evaluate \( \lim _{x \rightarrow 0^{+}}(\sin x)^{\tan x} \)
2022-10-27The value of \( \lim _{x \rightarrow 1}\{1-x+[x-1]+[1-x]\} \) (where \( [\cdot] \) denotes the g...
2022-10-27Evaluate \( \lim _{x \rightarrow 0^{+}}(\sin x)^{x} \)
2022-10-27\( A \) draws a card from a pack of \( n \) cards marked \( 1,2, \ldots, n \). The card is repla...
2022-10-27The value of \( \lim _{x \rightarrow 0} \frac{e-(1+x)^{1 / x}}{\tan x} \) is (a) \( \theta \) (b...
2022-10-27Evaluate \( \lim _{n \rightarrow \infty}\left(\frac{e^{n}}{\pi}\right)^{1 / n} \).
2022-10-27The value of \( \lim _{x \rightarrow 0} \frac{p^{x}-q^{x}}{r^{x}-s^{x}} \) is (a) \( \frac{1-\lo...
2022-10-27The value of \( \lim _{x \rightarrow \infty}(x+2) \tan ^{-1}(x+2)-\left(x \tan ^{-1} x\right) \)...
2022-10-27The value of \( \lim _{x \rightarrow \pi / 4} \frac{(\cos x+\sin x)^{3}-2 \sqrt{2}}{1-\sin 2 x} ...
2022-10-27If \( \lim _{x \rightarrow 0}\left(1+a x+b x^{2}\right)^{2 / x}=e^{3} \), the values of \( a \) ...
2022-10-27If \( \alpha \) and \( \beta \) are roots of \( a x^{2}+b x+c=0 \), the value of \( \lim _{x \ri...
2022-10-27The value of \( \lim _{x \rightarrow 4} \frac{(\cos \alpha)^{x}-(\sin \alpha)^{x}-\cos 2 \alpha}...
2022-10-27The value of \( \lim _{n \rightarrow \infty} \frac{1 \cdot n+2 \cdot(n-1)+3 \cdot(n-2)+\ldots+n ...
2022-10-27The value of \( \lim _{x \rightarrow \pi} \frac{\sqrt{2+\cos x}-1}{(\pi-x)^{2}} \) is (a) \( \fr...
2022-10-27The value of \( \lim _{x \rightarrow y} \frac{x^{y}-y^{x}}{x^{x}-y^{y}} \) is (a) \( \frac{1-\lo...
2022-10-27The value of \( \lim _{\theta \rightarrow \pi / 4} \frac{(\sqrt{2}-\cos \theta-\sin \theta)}{(4 ...
2022-10-27If \( \lim _{x \rightarrow 0}\left(x^{-3} \sin 3 x+a x^{-2}+b\right) \) exists and is equal to z...
2022-10-27The value of \( \lim _{x \rightarrow a} \frac{x \sin a-a \sin x}{x-a} \) is (a) a \( \sin a-\cos...


Tags:
pw