Consider the function f(x)=⎧⎪⎨⎪⎩P(x)sin(x−2),x≠27, x=2, – InterviewSolution

1.	Consider the function f(x)=⎧⎪⎨⎪⎩P(x)sin(x−2),x≠27, x=2, where P(x) is polynomial such that P′′(x) is always a constant and P(3)=9. If f(x) is continuous at x=2, then P(5) is equal to
Answer» Consider the function $f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{P (x)}{sin (x - 2)}, & x \neq 2 7, & x = 2 \end{matrix},$ where $P (x)$ is polynomial such that $P^{''} (x)$ is always a constant and $P (3) = 9.$ If $f (x)$ is continuous at $x = 2$ , then $P (5)$ is equal to

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