11-14-2011, 12:19 AM
Question 02
Check the continuity of f(x) at x=3 for the function defined as
We will Put x=3 in given equation
f(3) = 14 ( For Point At x = 3
f(x) = 3x + 5
f(3) = 3(3) + 5 = 14 For All Value of X < 3
f(x) = 7 + (21/x)
f(3) = 7 + (21/3)
f(3) = 7 + 7 = 14 For All Value Of x > 3
So F(x) = 14 At all instant hence Function is Continuous
Check the continuity of f(x) at x=3 for the function defined as
We will Put x=3 in given equation
f(3) = 14 ( For Point At x = 3
f(x) = 3x + 5
f(3) = 3(3) + 5 = 14 For All Value of X < 3
f(x) = 7 + (21/x)
f(3) = 7 + (21/3)
f(3) = 7 + 7 = 14 For All Value Of x > 3
So F(x) = 14 At all instant hence Function is Continuous
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