`lim_(xto2)(2-sqrt(x+2))/(root(3)(2)-root(3)(4-x))`

Evaluate [without using L' Hospital's rule]: lim_(xto2)(2-sqrt(2+x))/(root(3)2-root(3)(4-x))

Evaluate the limits : lim_( xto 2) (2-sqrt(x+2))/(root3 2 -root3( 4-x))

Evaluate : underset(xrarr2)"lim"(2-sqrt(2+x))/(root(3)(2)-root(3)(4-x))

lim_(xtooo) (2sqrt(x)+3root(3)(x)+4root(4)(x)+...+nroot(n)(x))/(sqrt((2x-3))+root(3)((2x-3))+...+root(n)((2x-3))) is equal to

lim_(x rarr2)(x-2)/(root(3)(x)-root(3)(2))

lim_(xto2)(x-2)/(|x-2|)

Evaluate lim_(xtooo) (sqrt(x^(2)+1)-root(3)(x^3+1))/(root(4)(x^(4)+1)-root(5)(x^(4)+1))

Evaluate lim_(xtooo) (sqrt(x^(2)+1)-root(3)(x^3+1))/(root(4)(x^(4)+1)-root(5)(x^(4)+1))

Evaluate lim_(xtooo) (sqrt(x^(2)+1)-root(3)(x^3+1))/(root(4)(x^(4)+1)-root(5)(x^(4)+1))

lim_(x rarr oo)(2sqrt(x)+3root(3)(x)+4root(4)(x)+...+n root(n)(x))/(sqrt((2x-3))+root(3)((2x-3))+...+root(n)((2x-3))) is equal to 1( b) oo( c) sqrt(2)( d) none of these