Home
Class 12
MATHS
Evaluate the limit: ("lim")(xvecoo)[sqrt...

Evaluate the limit: `("lim")_(xvecoo)[sqrt(a^2x^2+a x+1)-sqrt(a^2x^2+1)]`

A

1

B

`1/2`

C

`1/4`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    DISHA PUBLICATION|Exercise Exercise- 1 : Concept Builder (Topic 3)|15 Videos
  • LIMITS AND DERIVATIVES

    DISHA PUBLICATION|Exercise Exercise- 1 : Concept Builder (Topic 4)|15 Videos
  • LIMITS AND DERIVATIVES

    DISHA PUBLICATION|Exercise Exercise- 1 : Concept Builder (Topic 1)|15 Videos
  • JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))

    DISHA PUBLICATION|Exercise MCQs|30 Videos
  • LINEAR INEQUALITIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Evaluate the limit: lim_(x rarr oo)[sqrt(a^(2)x^(2)+ax+1)-sqrt(a^(2)x^(2)+1)]

Evaluate the following limit: (lim)_(x->oo)sqrt(x^3+3x^2)-sqrt(x^2-2x)

Evaluate the following limit: (lim)_(x->+-oo)(sqrt(x^2-2x-1)-sqrt(x^2-7x-3))

Evaluate the following limits : lim_(x to 0)(sqrt(a^(2)+x^(2))-sqrt(a^(2)-x^(2)))/x^(2).

Evaluate the following limit: (lim)_(x rarr oo)(sqrt(x^(2)+a^(2))-sqrt(x^(2)+b^(2)))/(sqrt(x^(2)+c^(2))-sqrt(x^(2)+d^(2)))

Evaluate the following limit: (lim)_(x->9)(3-sqrt(x))/(4-sqrt(2x-2))

Evaluate the following limits : lim_(x to 0)(sqrt(x+2)-sqrt(2))/x

Evaluate the following limit: (lim)_(x rarr0)(sqrt(1+x^(2))-sqrt(1-x^(2)))/(x)

Evaluate the following limits : lim_(x to infty)(sqrt(x^(2)+x+1)-sqrt(x^(2)+1)) .

Evaluate the following limit: (lim)_(x rarr2)(sqrt(x^(2)+1)-sqrt(5))/(x-2)