Evalute `lim_(x to 3) [9x - 14]`

Evaluate lim_(x to 2) [4x^(2) + 3x + 9]

Evaluate lim_(x to 3)(x^(2) - 9)/(x + 2)

Evaluate lim_(x to 3)(x^(2) - 9)/(x + 2)

Evaluate lim_(x to 2) [4x^(2) + 3x + 9]

Evalutate lim_(x to 4)((x^(2) - x - 12)^(18))/((x^(3) - 8x^(2) + 16x)^(9))

Evalutate lim_(x to 4)((x^(2) - x - 12)^(18))/((x^(3) - 8x^(2) + 16x)^(9))

Evaluate lim_(x to 3) (x^2-9)/(x^2(x^2-6x+9))

Evalute (i) lim_(x to 1) [(x)/(2)] (ii) lim_(x to 2) [x^(2) - 5]

Evalute (i) lim_(x to 1) [(x)/(2)] (ii) lim_(x to 2) [x^(2) - 5]

If f(x) = |x-3| + 2 , evalute lim_(x to 3 + ) (f(x)-f(3))/(x-3) and lim_(x to 3 - ) (f(x)-f(3))/(x-3) Hence examine the differentiability of f(x) at x = 3 .