Multiple choice general knowledge math & puzzles

Expansion of exp(-x) is ..

  1. 1+x+(x^2)/2!+(x^3)/3!+..

  2. 1-(x^2)/2!+(x^4)/4!-...

  3. x-(x^3)/3!+(x^5)/5!+..

  4. 1-x+(x^2)/2!-(x^3)/3!+...
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The Taylor series expansion for e^x is 1 + x + x^2/2! + x^3/3!... Substituting -x for x gives 1 - x + x^2/2! - x^3/3! + ..., where signs alternate. Option 108687 correctly shows this alternating pattern.

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