Asked by anonymous
For what value of the constant c is the function f continuous on (−∞,∞) where
f(x)= c if x=0, and
xsin(1/x) otherwise
f(x)= c if x=0, and
xsin(1/x) otherwise
Answers
Answered by
Steve
since |sin(1/x)|<=1 x*sin(1/x) -> 0 as x->0
f(0)=0
will make f defined everywhere.
f(0)=0
will make f defined everywhere.
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