find the value of k if f of a equals to 9 where f of x = 2 x square minus A + x
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Answer:
6
Since f(x) is continuous at x=3.
Therefore,
x→3
lim
f(x)=f(3)
x→3
lim
f(x)=k
x→3
lim
x−3
x
2
−9
=k
x→3
lim
x−3
(x+3)(x−3)
=k
x→3
lim
(x+3)=k
k=6
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