Question

(a)(3p) Discuss the continuity of the following functions: (i)(1.5p) f(x)= (cosx if x<0, 2 if x=0,...

(a)(3p) Discuss the continuity of the following functions:

(i)(1.5p)

f(x)= (cosx if x<0, 2 if x=0, 1-x^4 if x>0)

at x=0

(ii)(1.5p)

f(x)= 5-2x if x<-3, x^2 + 2 if x>= -3

at x=−3

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