" Q.18"lim_(x rarr1)(root(3)(7+x^(3))-sqrt(3+x^(2)))/(x-1)

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lim_(x rarr1)((7+x^(3))^((1)/(3))-sqrt(3+x^(2)))/(x-1)=

lim_(x rarr1)(sqrt(x)+3)

Evaluate the following limits. lim_(xrarr1)[root(3)(7 +x^3)-sqrt(3+x^2)]/(x-1)

lim_(x rarr0)(sqrt(1+x^(2))-sqrt(1-x^(2)))/(3^(x)-1)=

lim_(x rarr1)(3sqrt(7+x^(3))-sqrt(3+x^(2)))/(x-1) is equal to

underset( x rarr 1 )("lim")( root ( 3)(7+x^(3))- sqrt( 3 +x^(2)))/( x-1)

Evaluate lim_(xto1)(root(3)(7+x^3)-sqrt(3+x^2))/(x-1)

lim_(x rarr0)(sqrt(1+x^(2))-sqrt(1-x+x^(2)))/(3^(x)-1)=

lim_(x rarr1)((sqrt(3+x)-sqrt(5-x))/(x^(2)-1))