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Palo Alto Networks Core Computer Science Core Computer Science Medium

Question 51 If the odd numbered dice have even number of dots on their top faces, then what...

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Question 51

If the odd numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?

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Answer: B. B) 10

The function computes s = 1 + x + x^2/2! + x^3/3! + ... + x^(y-1)/(y-1)!, which is the Maclaurin/Taylor series expansion of e^x.

Step-by-step Derivation:
Step 1: Initialize s = 1, p = 1.
Step 2: For i = 1 to y-1, p *= x/i => p = x^i / i!.
Step 3: s accumulates each term: s = 1 + sum_{i=1}^{y-1} x^i / i!.
Step 4: As y -> infinity, this series converges to e^x.