Let P be an approximation of pai accurate to n decimals. Show that P + sin P gives an approximation correct to 3n decimals. (Hint: Let P = p + x.)

Let P be an approximation of pai accurate to n decimals. Show that gives an approximation correct to 3n decimals.
(Hint: Let .)
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Substitute the value of

P is accurate to n decimals so,
$|x|\le {10}^{-n}$

Use the Maclaurin Series of sin x expansion.