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Determine whether this converges. If so, what number?
http://texify.com/img/\LARGE\!\Sigma[/URL] _{0}^{ \infty } \sin^n (\frac{ \pi }{4} %2B n \pi).gif[/PLAIN]
When I start plugging in values, I get :
n= 0 f(n)=1
n=1 f(n)= -\sqrt{2}/2
n=2 f(n)= \sqrt{2}/2
Using the formula, a/(1-r), I substitute and get 1/(1+1)=1/2. But when i look at the values in the table, it seems to approach 1.
So does it approach 1 or 1/2 ?
http://texify.com/img/\LARGE\!\Sigma[/URL] _{0}^{ \infty } \sin^n (\frac{ \pi }{4} %2B n \pi).gif[/PLAIN]
When I start plugging in values, I get :
n= 0 f(n)=1
n=1 f(n)= -\sqrt{2}/2
n=2 f(n)= \sqrt{2}/2
Using the formula, a/(1-r), I substitute and get 1/(1+1)=1/2. But when i look at the values in the table, it seems to approach 1.
So does it approach 1 or 1/2 ?
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