SO  U WANNA EVEN DETAILED HOON.....I THINK UR REALLY CONFUSED.

SEE A FUNCTION IS IN  0/0 FORM...RITE..SO USE L HOSPITAL..TAT IS D/DX OF NUMERATOR BY   D/DX OF DENOMINATOR...SO IN DENOMINATOR D/DX OF X TAT IS 1..ND NUMERATOR IS F"X  SO G(0) MUST B  F"0

 HOP ITZ CLEAR.....YAAR INO THERE IS LOTZ OF COMMUNICATION GAP BT TRY 2 UNDERSTAND......

2 QUESTION ITSELF SAYZ..F"0 EXISTS...SO IT IS DIFFERENTIABLE....

ND EVERY DIFFERTIABLE IS CONTINOUS.....COZ..DIFFF COMES AFTER CONTINUITY......HOP U GOT IT OR TRY WIT UR FACULTY...OR ASK EXPERTS MAN THEY R THE  BEST