Discuss the continuity of the function :...

Discuss the continuity of the function :
`f(x) = {:{((|x-a|)/(x-a), when x nea),(1,when x=a):}` at x = a

Verified by Experts

The correct Answer is:

Continuous

CONTINUITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARKS (TRUE OR FALSE QUESTIONS (TYPE-III))|13 Videos
APPLICATIONS OF INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos
DEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTION CARRYING 4 MARKS|8 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of the function f(x) = {{:((|x - 2|)/(2 - x)"," ,x != 2),(-1",", x = 2):} at x = 2 .

Discuss the continuity of the function f given by f(x) = x^3+x^2-1

Discuss the continuity of function f(x) at 0 , if f(x) = |x| .

Discuss the continuity of the following functions: f(x) = (sinx)/(cosx)

Examine the continuity of the function f(x) at x = 0, f(x) = {:{(|sinx|/x, when x ne 0),(1, when x=0):}

Discuss the continuity of the function f given by f (x) = | x | at x = 0

Discuss the continuity of the function f defined by f(x) = 1/x, x ne 0

Discuss the continuity of the function f(x) at x = 0 , where f(x) ={:{(( |x|/x) , x ne 0),(0,x=0):}

Discuss the continuity of the function f(x) = {:{(x , if x > 0),(x^2, if x le0):} .

Examine for continuity, the function f(x) = {:{(|x-a|sin(1/(x-a)) if x ne a),(0 if x=a):}