Home
Class 12
MATHS
lim(x rarr oo)(sqrt(x^(2)+a^(2))-sqrt(x^...

`lim_(x rarr oo)(sqrt(x^(2)+a^(2))-sqrt(x^(2)+b^(2)))/(sqrt(x^(2)+c^(2))-sqrt(x^(2)+d^(2))) = (a^(2)-b^(2))/(c^(2)-d^(2))`

Promotional Banner

Similar Questions

Explore conceptually related problems

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))

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

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)))

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

lim_(x rarr0)(sqrt(1-x^(2))-sqrt(1+x^(2)))/(2x^(2))

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

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

lim_(x rarr oo)((sqrt(x^(2)+5)-sqrt(x^(2)-3))/(sqrt(x^(2)+3)-sqrt(x^(2)+1)))

lim_(x rarr oo)(sqrt(x+2)-x)/(sqrt(x^(2)+3)-x)