LimitsHard
Question
Let f(x) = [n + π sin x], x ∈ (0, π), n ∈ Z, π is a prime number and [x] is greatest integer less than or equal to x. The number of points at which f(x) is not differentiable is
Options
A.p
B.p - 1
C.2p + 1
D.2p - 1
Solution
f(x) = [n + psinx], x ∈ (0, π)
graph of y = n + p sinx
obviously
f(x) = [n + p sinx] is discontinous at points mark in above curve
⇒ number of such points (p - 1) + 1 + p - 1 = 2p - 1
graph of y = n + p sinx
obviously
f(x) = [n + p sinx] is discontinous at points mark in above curve
⇒ number of such points (p - 1) + 1 + p - 1 = 2p - 1
Create a free account to view solution
View Solution Free