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Example: Find out the radius of convergence for the following power series. Solution : Therefore, in this case we have, a n = ((-3) n )/(n7 n+1 ) a n+1 = (
lim n tends to infintiy ( {x} + {2x} + {3x}..... +{nx}/ n2(to the square) )where {X} denotes the fractional part of x? Ans) all no.s are positive or 0. so limit is either positive
How long does it take for an amount of money P to double itself if it is invested at 8% interest compounded 4 times a year?
sin10+sin20+sin30+....+sin360=0 sin10+sin20+sin30+sin40+...sin180+sin(360-170)+......+sin(360-40)+sin(360-30)+sin(360-20)+sin360-10)+sin360 sin360-x=-sinx hence all terms cancel
what help with trigonometry?
Example : Determine the Taylor series for f(x) = e x about x=0. Solution It is probably one of the easiest functions to get the Taylor series for. We just require recallin
One-to-one Correspondence : Suppose you are given a certain number of cups and saucers, and are asked to find out whether there are enough saucers for all the cups. How would you
who created math?
a cheeseburger cost $6.39 more than a burger of $2.29, what is the difference?
Two sides of a picture frame are glued together to form a corner. Each side is cut at a 45-degree angle. Using the illustration provided, ?nd the measure of ∠A. a. 45° b
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