thanks man. been a while since i had calc 1 i don't remember the exact rule of this situation. doesn't help that my high school calc teacher taught me a complete 180 from what my university professor did...
is the equation f(x)=(x^2-1)/(x+1) continuous?
i know it can be reduced to f(x)=(x-1) but i remember that in doing so you divide by zero for x=-1 and thus it will be discontinuous at that point...
i don't know I'm really tired tonight
Homework Statement
f(x)=sin^2(x)
Homework Equations
The Attempt at a Solution
solving for a(0)= i did (1/2Pi)*int(sin^2(x),x,-Pi..Pi)=1/2
b(n)=0 because sin^2(x) is an even function...
Homework Statement
Prove that f_2n+1=(f_n+1)^2+(f_n)^2
Homework Equations
(f_n)^2=(f_2n)-2(f_n-1)(f_n)
The Attempt at a Solution
i started with plugging in for the formula in (f_n)^2 and doing the same for (f_n+1)^2
but I am not sure if I'm even going in the right direction...