Calculus: Pointwise limits
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Let
fk (x) =
sin (kx)/k k = 1, 2, 3, . . . .
a) Determine the pointwise limit f of the sequence {fk} infinity k=1 on R.
b) Show that the sequence {fk} infinity k=1 converges to f uniformly to f on R.
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Solution Summary
Determining pointwise limit of a given sequence of functions and then showing that the sequence converges uniformly on R.
Education
- BSc, University of Bucharest
- MSc, Ovidius
- MSc, Stony Brook
- PhD (IP), Stony Brook
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