Part A- Knowledge/Understanding. For full marks show rough work for each question. 1. Complete the following:...

Transcribed Image Text:

Part A- Knowledge/Understanding. For full marks show rough work for each question. 1. Complete the following: [7 marks] a) The lim -20 x-4x - The lim x2 16 = x4+ b) 4-x c) The lim = X0 X 9-x2 d) The lim = x 3 x-3 e) For what values of x will the function f(x) = x+2 be discontinuous? x(x-4) Cr f) State the number of vertical asymptotes for e) g) Even if a function has a removeable discontinuity at x = a, then the limit as x a can still exist at x = a. Is this statement T or F? Explain your answer. Part A- Knowledge/Understanding. For full marks show rough work for each question. 1. Complete the following: [7 marks] a) The lim -20 x-4x - The lim x2 16 = x4+ b) 4-x c) The lim = X0 X 9-x2 d) The lim = x 3 x-3 e) For what values of x will the function f(x) = x+2 be discontinuous? x(x-4) Cr f) State the number of vertical asymptotes for e) g) Even if a function has a removeable discontinuity at x = a, then the limit as x a can still exist at x = a. Is this statement T or F? Explain your answer.

Answer rating: 100% (QA)

a limx to 4 20x 4 To evaluate this limit we observe that as x approaches 4 the denominator x 4 appro... View the full answer