Math miscellaneousHard
Question
If f(x) = 
Options
A.continuous as well as differentiable for all x
B.continuous for all x but not differentiable at x = 0
C.neither differentiable nor continuous at x = 0
D.discontinuous everywhere
Solution
f′(0)
f′(0 - h) = 1
f′(0 + h) = 0
LHD ≠ RHD
Hence, (B) is the correct answer.
f′(0 - h) = 1
f′(0 + h) = 0
LHD ≠ RHD
Hence, (B) is the correct answer.
Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
The variance of first 50 even natural numbers is...Coefficient of x79 in the expansion of (x + x2 + x4)20 is equal to -...Suppose a population A has 100 observations 101, 102, ...., 200, and another population B has 100 observations 151, 152,...If 1, logg (31-x + 2), log3 (4.3x - 1) are in A.P. then x equals...Value of dx is -...