Download App

Limits — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
Question
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow{\infty}}\frac{3\text{x}^2-4\text{x}^2+6\text{x}-1}{2\text{x}^3+\text{x}^2-5\text{x}+7}$
✓

Answer

$\lim\limits_{\text{x}\rightarrow{\infty}}\frac{3\text{x}^2-4\text{x}^2+6\text{x}-1}{2\text{x}^3+\text{x}^2-5\text{x}+7}$
$=\lim\limits_{\text{x}\rightarrow{\infty}}\frac{3-\frac{4}{\text{x}}+\frac{6}{\text{x}^2}-\frac{1}{\text{x}^3}}{2+\frac{1}{\text{x}}-\frac{5}{\text{x}^2}+\frac{7}{\text{x}^3}}$
$=\frac{3-0+0-0}{2+0-0+0}$
$=\frac32$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Limits→Limits — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{5^\text{x}-1}{\sqrt{4+\text{x}}-2}$
→
Prove that: $\cos\frac{7\pi}{12}+\cos\frac{\pi}{12}=\sin\frac{5\pi}{12}-\sin\frac{\pi}{12}$
→
Evaluate $\mathop {\lim }\limits_{x \to 2} \frac{{3{x^2} - x - 10}}{{{x^2} - 4}}$
→
Show the of the following progression is G.P. Also, find the common ratio in case:$\text{a}\frac{3\text{a}^2}{4},\frac{9\text{a}^3}{16},\cdots$
→
Differentiate the following functions.
$\frac{1}{\text{ax}^{2}+\text{bx}+\text{c}}$
→
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\text{a}^\text{x}+\text{b}^\text{x}+\text{c}^\text{x}-3}{\text{x}}$
→
Evaluate the following:P(6,4)
→
Find the points on the line x + y = 4 which lie at a unit distance from the line 4x + 3y = 10.
→
Prove that: $2{\sin ^2}\frac{\pi }{6} + \cos e{c^2}\frac{{7\pi }}{6}{\cos ^2}\frac{\pi }{3} = \frac{3}{2}$
→
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\sin5\text{x}}{\tan3\text{x}}$
→