If \( \alpha \) and \( \beta \) are roots of \( a x^{2}+b x+c=0 \), the value of \( \lim _{x \ri...

Channel:
PW Solutions
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=t9yjp85E_SI


Category:
Let's Play
Duration: 3:59
1 views
0

If \( \alpha \) and \( \beta \) are roots of \( a x^{2}+b x+c=0 \), the value of \( \lim _{x \rightarrow \alpha}\left(1+a x^{2}+b x+c\right)^{2 / x-\alpha} \) is
(a) \( e^{2 \alpha(\alpha-\beta)} \)
(b) \( \theta^{\alpha(\alpha-\beta)} \)
(c) \( \theta^{\frac{2 a}{3}(\alpha-\beta)} \)
(d) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-10-27\( \lim _{t \rightarrow 0} \frac{1-(1+t)^{t}}{\ln (1+t)-t} \) is equal to (a) \( \frac{1}{2} \) ...
2022-10-27The value of \( \lim _{n \rightarrow \infty}\left(\frac{1}{n a}+\frac{1}{n a+1}+\frac{1}{n a+2}+...
2022-10-27If the error committed in measuring the radius of a circle is \( 0.01 \% \), find the correspond...
2022-10-27A satellite travels in a circular orbit of radius \( R \). If its \( x \)-coordinate decreases a...
2022-10-27The value of \( \lim _{n \rightarrow \infty} \frac{1}{n^{3}}\left(\left[1^{2} x+1^{2}\right]+\le...
2022-10-27The value of \( \lim _{x \rightarrow 1^{+}} \frac{\int_{1}^{x}|t-1| d t}{\sin (x-1)} \) is (a) 0...
2022-10-27The value of \( \lim _{n \rightarrow \infty} \sum_{K=1}^{n} \log \left(1+\frac{K}{n}\right)^{1 /...
2022-10-27\( \lim _{x \rightarrow 0} \frac{\sin \left(\pi \cos ^{2}(\tan (\sin x))\right)}{x^{2}} \) is eq...
2022-10-27Evaluate \( \lim _{x \rightarrow 0^{+}}(\sin x)^{x} \)
2022-10-27The value of \( \lim _{x \rightarrow 1}\{1-x+[x-1]+[1-x]\} \) (where \( [\cdot] \) denotes the g...
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 \( \lim _{x \rightarrow 0}\left[\frac{x^{2}}{\sin x \tan x}\right] \) (where \( [\c...
2022-10-27The value of \( \lim _{x \rightarrow 0} \sin ^{-1}\{x\} \) (where \( \{\cdot\} \) denotes fracti...
2022-10-27The value of \( \lim _{x \rightarrow 0} \frac{e-(1+x)^{1 / x}}{\tan x} \) is (a) \( \theta \) (b...
2022-10-27Evaluate \( \lim _{n \rightarrow \infty}\left(\frac{e^{n}}{\pi}\right)^{1 / n} \).
2022-10-27Evaluate \( \lim _{x \rightarrow 0^{+}}(\sin x)^{\tan x} \)
2022-10-27The value of \( \lim _{n \rightarrow \infty}\left((15)^{n}+\left[(1+0.0001)^{10000}\right]^{n}\r...
2022-10-27The value of \( \lim _{\theta \rightarrow \pi / 4} \frac{(\sqrt{2}-\cos \theta-\sin \theta)}{(4 ...
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 _{x \rightarrow 0}\left(\frac{1^{x}+2^{x}+3^{x}+\ldots+n^{x}}{n}\right)^{a ...
2022-10-27The value of \( \left.\lim _{x \rightarrow 0}|x| \cos x\right] \), where[.] denotes the greatest...


Tags:
pw