SOLUTION: Can somebody help me with this problem. The directions are Evaluate to four decimal places. The problem is e^2.69. Can you show me step by step my calculator cant do this problem.

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Question 1005856: Can somebody help me with this problem. The directions are Evaluate to four decimal places. The problem is e^2.69. Can you show me step by step my calculator cant do this problem.
Found 2 solutions by fractalier, AnlytcPhil:
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
Well, without a calculator that can do exponentials, you'll have to rely on what are called series expansions...the series expansion for e^x is
e^x = 1 + x + (1/2)x^2 + (1/6)x^3 + (1/24)x^4 + ... so that
e^2.69 = 1 + 2.69 + (1/2)2.69^2 + (1/6)(2.69^3) + (1/24)(2.69^4) + (1/120)(2.69^5)...
You should be able to manage that with a simple calculator...14.7316 or so...
Answer by AnlytcPhil(1807)   (Show Source): You can put this solution on YOUR website!

The letter "e" stands for this irrational number which never
ends or repeats blocks of digits: 

2.718281828459045235360287471352662497757247093699959574966967...

To get 4 decimal place accuracy you will need to use about 8 digits
of that decimal:

Type in 2.7182818^2.69

Then round to four decimals

Get 14.7317

Edwin
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