Download App

12. limits — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS12. limits1 Mark
MCQ
If $\mathop {\lim }\limits_{x \to 0} \phi (x) = {a^3},(a \ne 0)$; then $\mathop {\lim }\limits_{x \to 0} \phi \left( {\frac{x}{a}} \right)$ is equal  to :-
  • A
    $\frac{1}{a^3}$
  • ✓
    $a^3$
  • C
    $a^2$
  • D
    $\frac{1}{a^2}$
✓

Answer

Correct option: B.
$a^3$
b
$\lim _{x \rightarrow 0} \phi\left(\frac{x}{a}\right)=\lim _{a t \rightarrow 0}\left(\frac{a t}{a}\right)$

$=\lim _{t \rightarrow 0} \phi(t)=\lim _{x \rightarrow 0} \phi(x)=a^{3}$

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 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

If $\text{i}^2=-1,$ then the sum $\text{i}+\text{i}^2+\text{i}^3+...$ upto 1000 terms is equal to:
→
If $x = 9$ is the chord of contact of the hyperbola ${x^2} - {y^2} = 9$, then the equation of the corresponding pair of tangents is
→
If the equation $\frac{1}{x} + \frac{1}{{x - 1}} + \frac{1}{{x - 2}} = 3{x^3}$ has $k$ real roots, then $k$ is equal to -
→
If V and S are respectively the vertex and focus of the parabola $y^2 + 6y + 2x + 5 = 0$, then SV =
→
Consider $4$ boxes, where each box contains $3$ red balls and $2$ blue balls. Assume that all $20$ balls are distinct. In how many different ways can $10$ balls be chosen from these $4$ boxes so that from each box at least one red ball and one blue ball are chosen?
→
If the lengths of the sides of a triangle are decided by the three throws of a single fair die, then the probability that the triangle is of maximum area given that it is an isosceles triangle, is
→
The negation of the statement (p Λ q) → (~p ∨ r) is.
→
The two parabolas ${y^2} = 4x$ and ${x^2} = 4y$ intersect at a point $P$, whose abscissa is not zero, such that
→
The line $lx + my - n = 0$ will be tangent to the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$, if
→
Choose the correct answer. If $x^n-1$ is divisible by $x-k$, then the least positive integral value of $k$ is:
→