I’m trying to find a proof of
1√1−x2=1+1⋅32⋅4x2+1⋅3⋅52⋅4⋅6x4+⋯,
which doesn’t need Taylor or Maclaurin series, like the proof of Mercator series and Leibniz series.
I tried to prove it by using calculus, but I couldn’t hit upon a good proof.
I’m trying to find a proof of
1√1−x2=1+1⋅32⋅4x2+1⋅3⋅52⋅4⋅6x4+⋯,
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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