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lim(x-gtoo)(sqrt(x^2+x+1))-(sqrt(x^2+1))...

`lim_(x-gtoo)(sqrt(x^2+x+1))-(sqrt(x^2+1))`

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The value of lim_(x to oo) (sqrt(x^2+1)-sqrt(x^2-1)) is

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))

The value of lim_(x to 0) (sqrt(x^2+1)-1)/(sqrt(x^2+16)-4) is

lim_(x=oo)(sqrt(x^(2)+1)-3sqrt(x^(2)+1))/(4sqrt(x^(4)+1)-5sqrt(x^(4)-1)) is equal to

Prove that: lim_(x rarr oo)x(sqrt(x^(2)+1)-sqrt(x^2-1))) = 1

The value of lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)-x+1)) equals

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