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junior college 2 | H2 Maths
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ddiiaabb
Ddiiaabb

junior college 2 chevron_right H2 Maths

the function f is continuous
what the values of a,b,c ?

Date Posted: 7 years ago
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Mark Thong
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ddiiaabb
Ddiiaabb
7 years ago
thx, but I don't understand why a=-3? (f(x) is contionuos, but what this help me to know a=-3)?!?
Mark Thong
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Mark Thong
7 years ago
Originally, f(x) = (x-2)(x+3)/(x-a) for x
Hence when x --> a, denominator (x-a) --> 0,
which causes f(x) --> infinity , and f(x) becomes not continuous.

Therefore if a = -3
then for x
Jiayang
Jiayang
7 years ago
I think you should also explain why a cannot be 2.
Mark Thong
Premium Tutor
Mark Thong
7 years ago
if a=2,
then when x--> a+ ,
it can be shown that f(x) --> infinity
and that would make f(x) not continuous.
hence a cannot be 2.
ddiiaabb
Ddiiaabb
7 years ago
thx :)
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Jiayang
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ddiiaabb
Ddiiaabb
7 years ago
thx :)