Home
Class 11
MATHS
[" EXAMPLE 3Evuluate: "lim(x rarr oo)(sq...

[" EXAMPLE 3Evuluate: "lim_(x rarr oo)(sqrt(3x^(2)-1)+sqrt(2x^(2)-1))/(4x+3)],[" SOLUTION Dividing each term in the numerator and denominator by "x" ,we get "],[lim_(x rarr oo)(sqrt(3x^(2)-1)+sqrt(2x^(2)-1))/(4x+3)=lim_(x rarr oo)(sqrt(3-1/x^(2))+sqrt(2-1/x^(2)))/(4+3/x)=(sqrt(3)+sqrt(2))/(4)],[" EXAMPLEA Evaluate: "lim sqrt(x)(sqrt(x+c)-sqrt(x))]

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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

lim_(xrarr oo)(sqrt(3x^2-1)+sqrt(2x^2-1))/(4x+3)=

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

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