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Grade 11Physical Chemistry

f(x)=(x-[x])sin(1/x), at x=0, what is f?A) Continuous B) Discontinuous C) Not determined D)NonePlease answer as soon as possible.

Profile image of Aru
9 Years agoGrade 11
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1 Answer

Profile image of Vikas TU
9 Years ago
Writing f(x)=(x-[x])sin(1/x)
as => f(x)=(x-[x])/(1/sin(1/x)) at x tending to 0 it is 0/0.
Apply the L-Hospital rule we get, => 1/((cos(1/x))/sin^2(1/x))x^2
The function is again indeterminant form so the possible soln. can’t be dtermined perhaps!