If \( \lim _{x \rightarrow \infty}\left(\sqrt{x^{4}+a x^{3}+3 x^{2}+b x+2}\right. \) \( \left.-\...

Channel:
PW Solutions
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=CqhFrw5kMz0


Duration: 11:14
2 views
0

If \( \lim _{x \rightarrow \infty}\left(\sqrt{x^{4}+a x^{3}+3 x^{2}+b x+2}\right. \) \( \left.-\sqrt{x^{4}+2 x^{3}-c x^{2}+3 x-d}\right)=4 \) then \( (a+c) \) is
(a) 5
(b) 7
(c) 3
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-06-08\[ \lim _{n \rightarrow \infty} \frac{1}{n^{2}} \prod_{r=2}^{n}\left(\frac{r+1}{r-1}\right) \] (...
2023-06-08Which of the following is/are true. (a) If \( \lim _{x \rightarrow a}\{f(x)+g(x)\} \) exists, th...
2023-06-08If \( \lim _{x \rightarrow 1} \frac{\frac{\pi}{4}-\tan ^{-1} x}{e^{\sin (\ln x)}-x^{n}} \) exist...
2023-06-08If [.] is greatest integer function and \( n \) is a positive integer, then \( \lim _{x \rightar...
2023-06-08If \( \lim _{x \rightarrow 0}\left(p \tan q x^{2}-3 \cos ^{2} x+4\right)^{1 /\left(3 x^{2}\right...
2023-06-08Evaluate \( \lim _{n \rightarrow \infty} \frac{[x]+[4 x]+[7 x]+\ldots+[(3 n-2) x]}{n^{2}} \) whe...
2023-06-08\[ \lim _{x \rightarrow 0} \frac{e^{x^{2}}-\cos x}{x^{2}} \] (a) 0.5 (b) 1 (c) 1.5 (d) Does not ...
2023-06-08\( \lim _{n \rightarrow \infty} \frac{n^{p} \sin ^{2}(n !)}{n+1}, 0p1 \), is equal to (a) 0 (b) ...
2023-06-08If \( \lim _{x \rightarrow 4} \frac{f(x)-5}{x-2}=3 \) then \( \lim _{x \rightarrow 4} f(x) \) (a...
2023-06-08\( \lim _{x \rightarrow \infty} \frac{\ln x^{n}-[x]}{[x]}, n \in N \), is \( ([\cdot] \) denotes...
2023-06-08If \( \lim _{x \rightarrow \infty}\left(\sqrt{x^{4}+a x^{3}+3 x^{2}+b x+2}\right. \) \( \left.-\...
2023-06-08\[ \lim _{n \rightarrow \infty} \frac{n^{2}}{3} \prod_{r=2}^{n}\left(\frac{r^{2}-r+1}{r^{2}+r+1}...
2023-06-08Evaluate \( \lim _{x \rightarrow \infty} \frac{4 x+3}{x-8} \) (a) 4 (b) 1 (c) 3
2023-06-08\[ \lim _{x \rightarrow 0}\left[\frac{1}{x}-\frac{\ln (1+x)}{x^{2}}\right]= \] (a) \( 1 / 2 \) (...
2023-06-08Let \( f: R \rightarrow R \) be a positive increasing function with \( \lim _{x \rightarrow \inf...
2023-06-08\( \lim _{x \rightarrow 0}\left(\frac{a^{x}+b^{x}+c^{x}}{3}\right)^{5 / x} \) equals (a) \( (a b...
2023-06-08The value of \( \lim _{n \rightarrow \infty} \frac{1-n^{2}}{\sum_{r=1}^{n} r} \) will be (a) -2 ...
2023-06-08\( \lim _{x \rightarrow 0}\left(\frac{1+\tan x}{1+\sin x}\right)^{\operatorname{cosec} x} \) equ...
2023-06-08A series RLC circuit is activated by a frequency \( (\omega) \) variable AC source of voltage \(...
2023-06-08The value of \( \lim _{x \rightarrow 0} \frac{x^{2}-2 x}{2 \sin x} \) is (a) 1 (b) 2 (c) -1
2023-06-08The value of \( \lim _{x \rightarrow 0} \frac{a^{x}-b^{x}}{x} \) is (a) \( \log (a / b) \) (b) \...