Find the value of k so that the function f(x) = kx + 1....

Find the value of k so that the function f(x) = kx + 1, if x ≤ π = cos x, if x ≥ π Is continuous at x = π.

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29
govind ·

we are given that
f(x) = kx + 1..if x ≤ π
cosx if x ≥ π..
and the function is continuous at x = π
so left hand limit = right hand limit
kπ + 1 = cosπ
kπ + 1 = - 1
so k = -2/Ï€

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