Download App

Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
MCQ
$\lim _{x \rightarrow 0} \frac{(1+x)^5-1}{(1+x)^3-1}=$
  • A
    $0$
  • B
    1
  • ✓
    $\frac{5}{3}$
  • D
    $\frac{5}{3}$
✓

Answer

Correct option: C.
$\frac{5}{3}$
(C)
Applying L-Hospital's rule, we get
$\lim _{x \rightarrow 0} \frac{(1+x)^5-1}{(1+x)^3-1}=\lim _{x \rightarrow 0} \frac{5(1+x)^4}{3(1+x)^2}=\frac{5}{3}$

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 Limits→Limits — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

If $\lim _{x \rightarrow a} \frac{ a ^x-x^a}{x^x- a ^x}=-1$, then
→
If circles $x^2+y^2-4 x-6 y+9=0$ and $x^2+y^2+2 x+2 y-7=0$ touch each other, then their point of contact is
→
If $0<\operatorname{amp}(z)<\pi$, then $\operatorname{amp}(z)-\operatorname{amp}(-z)=$
→
The value of $\frac{i^{592}+i^{590}+i^{588}+i^{586}+i^{584}}{i^{582}+i^{580}+i^{578}+i^{576}+i^{574}}-1=$
→
If distance between the directrices be thrice the distance between the foci, then eccentricity of ellipse is
→
The value of $f(0)$ so that the function $f (x)=\frac{\log \left(\sec ^2 x\right)}{x \sin x}, x \neq 0$, is continuous at $x=0$ is
→
If the equation $\frac{K(x+1)^2}{3}+\frac{(y+2)^2}{4}=1$ represents a circle, then K =
→
The value of $\frac{(\text{i}^5+\text{i}^6+\text{i}^7+\text{i}^8+\text{i}^9)}{(1+\text{i})}$ is :
→
Equation of tangents drawn from point $(-2, -1)$, to the hyperbola $2 x^2-3 y^2=6$ are
→
There are 2 shelves. One shelf has 5 Physics and 3 Biology books and the other has 4 Physics and 2 Biology books. The probability of drawing a Physics book is
→