Evaluate :

`lim_( x -> a ) ( x^(6/7 ) - a^( 6 /7 ) )/ ( x^(1/2 ) - a^(1/2 ) ) `

Evaluate : lim_( x-> ∞ ) ( 6^x - 3^x - 2^x + 1 )/ x^2 =

Evaluate: lim_(x rarr2)[2(x+3)+7]

Evaluate: lim_(x rarr -2) (x^(7)+128)/(x+2) .

Evaluate the following limit: (lim)_(x rarr a)(x^(5/7)-a^(5/7))/(x^(2/7)-a^(2/7))

Evaluate: lim_(x rarr oo) [(x^(2)+x+6)/(x+1)] .

Evaluate: lim_(xrarr1) (x-1)/(2x^(2)-7x+5)

2.Evaluate lim_(x->a)(x^(7)-a^(7))/(x^(5)-a^(5))

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

lim_ (x rarr oo) (3x ^ (- 1) + 4x ^ (- 2)) / (5x ^ (- 1) + 6x ^ (- 2))

Evaluate: lim_(x rarr(7)/(2))(2x^(2)-9x+8)^(cot(2x-7))