Evaluate the limit, if it exists. lim_x rightarrow 5 x^2 - 6x + 5/x - 5 lim_x ri

Question

Evaluate the limit, if it exists. lim_x rightarrow 5 x^2 - 6x + 5/x - 5 lim_x rightarrow 4 x^2 - 4x/x^2 - 3x - 4 lim_x rightarrow 5 x^2 - 5x + 6/x - 5 lim_x rightarrow -1 2x^2 + 3x + 1/x^2 - 2x - 3 lim_t rightarrow -3 t^2 - 9/2t^2 + 7t + 3 lim_x rightarrow -1 x^2 - 4x/x^2 - 3x - 4 lim_h rightarrow 0 (4 + h)^2 - 16/h lim_h rightarrow 0 (2 + h)^3 - 8/h lim_x rightarrow -2 x + 2/x^3 + 8 lim_h rightarrow 0 Squareroot 1 + h - 1/h lim_x rightarrow -4 1/4 + 1/x/4 + x lim_x rightarrow -1 x^2 + 2x + 1/x^4 - 1 lim_x rightarrow 16 4 - Squareroot x/16x - x^2 lim_t rightarrow 0 (1/t - 1/t^2 + t) lim_t rightarrow 0 (1/t Squareroot 1 + t - 1/t) lim_x rightarrow -4 Squareroot x^2 + 9 - 5/x + 4

Explanation / Answer

9) Cancel x-5 to get f(x) = x-1

limit = 4

10) cancel x-4 to get x/(x+1)

limit = 4/5

11) This limit is undefined as denominator =0

12) cancel x+1

= (2x+1)/(x-3)

limit = -1/-4 = 1/4

13) cancel t+3

= t-3/(2t+1)= -6/-5 =6/5

14) same as 10 = 4/5

15) 8

16) 12

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