f(2/3)=3(2/3)cube+(2/3)square-20(2/3)+12
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Answer:
(2/3)=3(2/3)cube+(2/3)square-20(2/3)+12
Answered by
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Answer:
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Step-by-step explanation:
The given function is continuous at x=2.
Therefore,
lim
x→2
f(x)=lim
x→2
+
f(x)=f(2)
lim
x→2
=f(2)
Now, consider lim
x→2
f(x)=lim
x→2
(x−2)
2
x
3
+x
2
−16x+20
=lim
x→2
(x−2)
2
(x+5)(x−2)
2
=lim
x→2
(x+5)=7
Therefore,
7=f(2)=k
Hence, the required value of k is 7.
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