Q: Find an upper bound on the absolute error of 3.141 as an approximation to π
I have no idea what to do... :(
What I know: absolute error = real value - approximate value
Help :)
2026-04-09 12:05:12.1775736312
Find an upper bound on the absolute error of 3.141 as an approximation to π
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In a convergent alternating series, the sum of the series is between any two consecutive partial sums. Using this idea and the Leibiniz formula, you can get arbitrarily precise upper and lower bounds on the value of $\pi$. You can then use these bounds to bound the error from 3.141.
Note that if you just need any upper bound, you can use the fact the $3<\pi<4$ to know that the error is less than $0.859$.