Download App

12. limits — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS12. limits1 Mark
MCQ
$\mathop {\lim }\limits_{x \to \infty } \frac{{{{(2x + 1)}^{40}}{{(4x - 1)}^5}}}{{{{(2x + 3)}^{45}}}} = $
  • A
    $16$
  • B
    $24$
  • ✓
    $32$
  • D
    $8$
✓

Answer

Correct option: C.
$32$
c
(c) $\mathop {\lim }\limits_{x \to \infty } \frac{{{{(2 + \frac{1}{x})}^{^{40}}}{{(4 - \frac{1}{x})}^5}}}{{{{(2 + \frac{3}{x})}^{45}}}} = \frac{{{2^{40}}}}{{{2^{45}}}} = {2^5} = 32$

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 "MCQ" from 12. limits→12. limits — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Given the circles ${x^2} + {y^2} - 4x - 5 = 0$and ${x^2} + {y^2} + 6x - 2y + 6 = 0$. Let $P$ be a point $(\alpha ,\beta )$such that the tangents from P to both the circles are equal, then
→
The equation of line passing through $(c, d)$ and parallel to $ax + by + c = 0,$ is
→
If $2 + i\sqrt 3 $ is a root of the equation ${x^2} + px + q = 0$, where $p$ and $q$ are real, then $(p,q)$=
→
The angle between the lines $x\cos {\alpha _1} + y\sin {\alpha _1} = {p_1}$ and $x\cos {\alpha _2} + y\sin {\alpha _2} = {p_2}$is
→
The value of $tan^{-1} (\frac{sin2 -1}{cos2})$ is equal to:-
→
If the difference between the roots of the equation $\text{x}^2 +\text{ax}+1=0$ is less than $\sqrt{5},$ then the set of possible values of a is:
→
The numbers of arrangements of the letters of the word $SALOON$, if the two $O's$ do not come together, is
→
A bag contains $8$ red and $7$ black balls. Two balls are drawn at random. The probability that both the balls are of the same colour is
→
A lady gives a dinner party for six guests. The number of ways in which they may be selected from among ten friends if two of the friends will not attend the party together is:
→
The value of $\tan\text{x}+\tan\Big(\frac{\pi}{3}+\text{x}\Big)+\tan\Big(\frac{2\pi}{3}+\text{x}\Big)$ is:
→