Let (an)n be a sequence, in which an≥0 for all n∈N, and limn→∞an=∞. Show that ∑∞n=1(1an+1−1an) converges.
I tried to use the Cauchy Criterion but couldn't conclude anything. Can someone help?
How to find limh→0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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