Use a known Taylor series to conjecture the value of .

Question

Use a known Taylor series to conjecture the value of  .

Quizplus · Accepted Answer

The Taylor series for e^x is 1 + x + x^2/2! + x^3/3! + ... 
By plugging in the hexadecimal value of aa88b_9100_55a4_a696_3758d3d8fb5b into this series, we can see that the terms beyond x^10 will be negligible in comparison. 
Therefore, the value of 11eaa88b_9100_55a4_a696_3758d3d8fb5b_TB5869_11 is approximately equal to 11(1 + aa88b_9100_55a4_a696_3758d3d8fb5b) = 11eaa88b_9100_7cb6_a696_47a1f6c73fa5_TB5869_11.

Use a Known Taylor Series to Conjecture the Value of