Hi, could you please let me know why my answer is not correct? Thanks.

Question:

Consider the following series. so 2L ri=13l"'l3 Using the Remainder Estimate for the Integral Test, nd the minimum value of n that will ensure that the error in the approximation 5 3 S", is less than 10'7 . ("n>[n]") 18F 3x We should solve j f[x)dx 10? F 80?: > 1" x 1825. 741858 3 Therefore, the minimum value of n should be the minimum integer that is larger than 1825341858, so n should be 1826. But 1826 is the wrong answer. Could you please help?|