seanieg89
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- Aug 8, 2006
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- HSC
- 2007
Re: HSC 2013 4U Marathon
Same issue though, you would be trying to prove that the infinite series converge to e,sin,cos respectively. But to talk about this happening on C we need to define e,sin and cos on C in the first place!If you do manage to properly prove the Taylor Series formula (for all R and C), then Euler's formula should follow immediately with no issues because the radius of convergence for sin(x) and cos(x) are infinity.
However, the issue is HOW you are going to properly prove the formula using methods within Extension 2?