Sonika Jain Asked a Question
September 17, 2020 12:15 pmpts 30 pts
Tences (Real Ar al Analysis Cal SCen Tences Theorem : Let [a, b] be a closed and bounded interval and for each n e N, let f, be differentiable on a, b]. If each f, be continuous on [a, b] and the series of functions f, + f2+ f, t.. converges uniformly on [a, b] to a function g and the series f, + f, + f, + .. converges to s on [a, b], then s'(x) = g(x) for all x e [a, b]. 9PR 3 la Proof : Let s x) = f(x) + f.(x) + + f (x)
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  • Sonika Jain
    can u write the exact meaning of theorem little clearly
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  • Sonika Jain
    what exactly this theorem is saying . like what are the conditions that are required and what is concusion then ?
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  • Satpal singh
    see this
    • cropped4204375587136984316.jpg
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  • Satpal singh thankyou
    the above theorem is saying about the uniform convergence of series of function by the help of uniformly convergent series of f' (derivatives) bcoz sometimes derivatives are eas...
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    Sonika Jain
    here are so many f fn g s all are taken can you please elaborate
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