Download App

Limits — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLimits1 Mark
Question
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow3}\frac{\text{x}^4-81}{\text{x}^2-9}$
✓

Answer

$\lim\limits_{\text{x}\rightarrow3}\frac{\text{x}^4-81}{\text{x}^2-9}$$=\lim\limits_{\text{x}\rightarrow3}\frac{\big(\text{x}^2-9\big)\big(\text{x}^2+9\big)}{\big(\text{x}^2-9\big)}$
$=\lim\limits_{\text{x}\rightarrow3}\text{x}^2+9=(3)^2+9=9+9=18$

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 "1 Marks Question" 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

Find the degree measurement of $-4$ radians.
→
Is the pair of set $A=\{2,3\}$ and $B=\left\{x: x\right.$ is solution of $\left.x^2+5 x+6=0\right\}$ equal? Give reasons.
→
Insert five GM.s between 3 and 192.
→
List the element of the set: C = {x : x is an integer, $\frac{1}{2}<x<\frac{9}{2}$}
→
Write the following statements in the form "if p, then q".
It is necessary to be rich in order to be happy.
→
Which of the following sentences are statements? Justify.Sum of opposite angles of a cyclic quadrilateral is 180°
→
If n(A) = 3, n(B) = 4, then write n(A × A × B).
→
What is the locus of a point for which y = 0, z = 0?
→
If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, find: $B \cap C$
→
Are the following pairs of statements are negation of each other:
The number x is not a rational number.
The number x is not an irrational number.
→