Can I compute the sum
∑n≥0n14n
by use of some trick?
First I thought of a geometrical series?
Answer
This is very similar to the geometric series, infact ∞∑n=0nxn=x⋅ddx∞∑n=0xn=x⋅ddx11−x=x(1−x)2
Plugging in x=1/4 will provide you with an answer.
How to find limh→0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
No comments:
Post a Comment