PLEASE COMPLETE ONLY PART (D) . THE REST HAVE ALREADY BEEN DONE. THANKS SO MUCH

Question

PLEASE COMPLETE ONLY PART (D). THE REST HAVE ALREADY BEEN DONE. THANKS SO MUCH FOR YOUR HELP AND I PROMISE TO RATE.

Explanation / Answer

[1/x] is not cotinuos at integer values let 1/x=l an integer becouse, left hand limit=lim(h->0) [1/x-h]=L+1 AND right hand limit =lim(h->0) [1/x+h]=L-1 right hand limit is not equal to left handlimit. so notcontinuao on integer values for integer values 1/x= l (non integer) and m is the greates integer of l so left hand limit lim(h->0) [1/x-h]=m AND right hand limit =lim(h->0) [1/x+h]=m both limts are equal and they are also equal to f(x) so continuas on non integer values (R-I) points of continuity

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