Saturday, 23 January 2016

real analysis - Showing that intinfty0u−alphasin(u),du>0 for $0

Does anyone know how to show ∫∞0u−αsin(u)du>0 for 0<α<1 (without explicitly having to calculate the exact value)?

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real analysis - How to find limhrightarrow0fracsin(ha)h

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