Recent content by charity4thep

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    Is the Equation f(x)=(x^2-1)/(x+1) Continuous? A Stupid Continuity Question

    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...
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    Is the Equation f(x)=(x^2-1)/(x+1) Continuous? A Stupid Continuity Question

    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
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    Showing fourier series of sin^2(x)=(1/2)-(cos(2x)/2)

    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...
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    Proving Fibonacci Numbers Equation f_2n+1=(f_n+1)^2+(f_n)^2

    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...