Home
Class 11
MATHS
lim(x to 0) (sqrt(a^2+x^2)-sqrt(a^2-x^2)...

`lim_(x to 0) (sqrt(a^2+x^2)-sqrt(a^2-x^2)/x^2`

Promotional Banner

Topper's Solved these Questions

  • LIMIT, CONTINUITY AND DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|293 Videos

  • MATHEMATICAL REASONING

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

lim_(x to oo) (sqrt(x^2+ax+a^2)-sqrt(x^2+a^2))

lim_(x to 3) (x-3)/((sqrt(x-2)-sqrt(4-x))

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

Evaluate the following limits : Lim_(x to oo) (sqrt(3x^(2)-1)-sqrt(2x^(2)-1))/(4x+3)

underset (xto0) lim(sqrt(1-x^2)-sqrt(1+x^2))/x^2

Prove that lim_(x to 0) (sqrt(a+x)-sqrta)/x = 1/(2sqrta) ( a ne o)

The value of f (0), so that function f(x) = (sqrt(a^2-ax+x^2)-sqrt(a^2+ax+x^2))/(sqrt(a+x) -sqrt(a-x) becomes continuous for all x, is given by

Evaluate: lim_(x->oo)(sqrt(3x^2-1)-sqrt(2x^2-1))/(4x+3)

Evaluate the following limits: lim_(xto0)(sqrt(x^2-1)+sqrt(x-1))/(sqrt(x^(2)-1))

lim_(x to 2)(x-sqrt(3x-2))/(x^2-4)