\( \lim _{x \rightarrow \infty}\left(\sqrt{x^{4}-x^{2}+1}-a x^{2}-b\right)=0 \) then (a) \( a=1,...

Channel:
PW Solutions
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=4W3He_psUW8


Duration: 9:22
2 views
0

\( \lim _{x \rightarrow \infty}\left(\sqrt{x^{4}-x^{2}+1}-a x^{2}-b\right)=0 \) then
(a) \( a=1, b=-2 \)
(b) \( a=1, b=1 \)
(c) \( a=1, b=-1 / 2 \)
(d) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-06-08The value of \( \lim _{x \rightarrow \pi^{-}} \frac{2^{\cot x}+3^{\cot x}-5^{1+\cot x}+2}{\left(...
2023-06-08\( \lim _{x \rightarrow \infty} \frac{\cot ^{-1}(\sqrt{x+1}-\sqrt{x})}{\sec ^{-1}\left\{\left(\f...
2023-06-08Let \( f(x)=\left\{\begin{array}{ll}x-[x] ; & x \notin I \\ 1 ; & x \in I\end{array} ;\right. \)...
2023-06-08If \( \lim _{x \rightarrow 0} \frac{\sin (\sin x)-\sin x}{a x^{5}+b x^{4}+c x^{3}+d x^{2}}=-\fra...
2023-06-08If \( \alpha \) and \( \beta \) are roots of \( x^{2}+\sqrt{1-\cos 2 \theta} x+\theta=0 \) where...
2023-06-08If \( \lim _{x \rightarrow c^{-}}\{\ln x\} \) and \( \lim _{x \rightarrow c^{+}}\{\ln x\} \) exi...
2023-06-08If \( f(x) \) be a bi-quadratic polynomial and \( \lim _{x \rightarrow 0} \frac{f(x)}{\left(\tan...
2023-06-08If \( f \) is a positive function such that \( f(x+T)=f(x)(T0), \forall \) \( x \in R \), then \...
2023-06-08Let \( f(x)=\lim _{n \rightarrow \infty} \frac{\sin \left(\pi x^{4}\right)+(x+2)^{n} \cdot \frac...
2023-06-08\( \operatorname{Lt}_{x \rightarrow \frac{\pi}{2}} \frac{\sin x}{\cos ^{-1}\left[\frac{1}{4}(3 \...
2023-06-08\( \lim _{x \rightarrow \infty}\left(\sqrt{x^{4}-x^{2}+1}-a x^{2}-b\right)=0 \) then (a) \( a=1,...
2023-06-08\( \lim _{x \rightarrow 0}\left[\frac{\left|\tan ^{-1}\right| x||}{x}\right] \) (where [.] denot...
2023-06-08Let \( f(x) \) and \( g(x) \) be differentiable functions on \( (-\infty \), \( \infty) \) and l...
2023-06-08\( \lim _{x \rightarrow 1}\left(\sec \frac{\pi}{2^{x}}\right)(\ln x) \) is equal to (a) \( -\fra...
2023-06-08The value of \( \lim _{x \rightarrow 0} x^{2}\left[\frac{1}{x^{2}}\right] \) where [.] denotes G...
2023-06-08If \( \lim _{x \rightarrow 0} \frac{\ln \cot \left(\frac{\pi}{4}-q x\right)}{\tan p x}=1 \), and...
2023-06-08\( \lim _{x \rightarrow 0}|x(x-1)|^{[\cos 2 x]} \), where \( [\cdot] \) denotes greatest integer...
2023-06-08\( \lim _{x \rightarrow 0} \frac{\sin x^{4}-x^{4} \cos x^{4}+x^{20}}{x^{4}\left(e^{2 x^{4}}-1-2 ...
2023-06-08\( \lim _{x \rightarrow 0}(x)^{\frac{1}{\ln \sin x}} \) is equal to (a) 1 (b) 0 (c) \( e \) (d) ...
2023-06-08Let \( a, b \) be constants such that \( \lim _{x \rightarrow 1} \frac{x^{2}+a x+b}{(\ln (2-x))^...
2023-06-08\[ \lim _{t \rightarrow \infty} \frac{\sqrt{2 t^{2}-t-1}-\sqrt{t^{2}-t+1}}{t(\tan \pi / 8)} \] (...