Calculus & Numerical Methods
Taylor Series of eˣ
Approximate eˣ with n terms.
Formula
Formula
ex ≈ Σ_{k=0}{n−1} xkk!
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| x | argument | real number (ℝ) | — | input |
| n | number of terms | integer (ℤ) | — | input |
Try it yourself
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Worked examples
Example 1
Givenx = 1, terms n = 20
Result2.718281828
Example 2
Givenx = 2, terms n = 25
Result7.389056099