Home
Class 12
MATHS
Evaluate underset(xtooo)lim[sqrt(a^(2)x^...

Evaluate `underset(xtooo)lim[sqrt(a^(2)x^(2)+ax+1)-sqrt(a^(2)x^(2)+1)].`

A

`1/2`

B

`-1/2`

C

does'nt exist

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|5 Videos

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|10 Videos

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(x to oo ) [sqrt(a^(2)x^(2)+ax+1)-sqrt(a^(2)x^(2)+1)].

Evaluate underset(x to -oo)lim(sqrt(x^(2)+3x+1))/(2x+4)

Evaluate underset(xto1)"lim"(x^(4)-sqrt(x))/(sqrt(x)-1) .

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

underset(nrarroo)lim[(1)/(sqrt(n^(2)-1^(2)))+(1)/(sqrt(n^(2)-2^(2)))+(1)/(sqrt(n^(2)-3^(2)))+...+(1)/(sqrt(n^(2)-(n-1)^(2)))]

Evaluate : lim_(x to oo) sqrt(x^(2)+x +1) - sqrt(x^(2)+1)

lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)+1))

lim_(x rarr oo)x{sqrt(x^(2)+1)-sqrt(x^(2)-1))}

Evaluate lim_(xtooo) x^(3){sqrt(x^(2)+sqrt(1+x^(4)))-xsqrt(2)}.

Evaluate lim_(xtooo) (sqrt(25x^(2)-3x)+5x).