state and prove tauber theorem for uniform convergence
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and wish to show that ∑nan ∑ n a n converges to the same L as well. ∣∣∣sn−f(n−1n)∣∣∣→0asn→∞. sn=f(r)+n∑k=0ak(1−rk)−∞∑k=n+1akrk
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statement of tauber theorem of uniform convergence
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