Discuss the applicability of Rolle’s theorem for the following function on the indicated interval: f (x) = tan x on  [0, p]

Asked by Topperlearning User | 4th Aug, 2014, 04:03: PM

Expert Answer:

We have, f (x) = tan x, x Î [0, p]

Since open parentheses straight pi over 2 close parentheses element of open square brackets 0 comma straight pi close square brackets and f (x) is not continuous at xstraight pi over 2
So, the condition of continuity at each point of [0, p] is not satisfied.
Hence, Rolle’s theorem is not applicable to f (x) = tan x on the interval [0, p]

Answered by  | 4th Aug, 2014, 06:03: PM