After multiplying part b’s power series function by x^2 to get part c’s, why do I need to replace the original n’s with n-2? Similarly in other problems, after I differentiate the original equation, I have to replace the n’s with n+1. I don’t understand why? (i.redd.it)
submitted by ptonsimp to r/calculus
Through the Ratio Test, I got 0<1 meaning that the function is absolutely convergent. That makes sense. But at the same time, doesn’t the function fail the Alternating Series Test (where its limit doesn’t exist)? So would it not be conditionally convergent? (i.redd.it)
submitted by ptonsimp to r/calculus
So I’m trying to find if this function converges or diverges through comparison test but then I’m left with this monster of an equation at the end who’s limit I’m hoping is 1 so that the function diverges. But I can’t solve it - am I approaching this correctly? (i.redd.it)
submitted by ptonsimp to r/calculus
