Home
Class 12
MATHS
A function f(x) is defined by, f(x) = {{...

A function f(x) is defined by, `f(x) = {{:(([x^(2)]-1)/(x^(2)-1)",","for",x^(2) ne 1),(0",","for",x^(2) = 1):}` Discuss the continuity of f(x) at x = 1.

Promotional Banner

Similar Questions

Explore conceptually related problems

A function f(x) is defined by, implies f(x)=f(x)={(([x^2]-1)/(x^2-1) "for" x^2ne1),(0 "for"x^2=1):} Discuss the continuity of f(x) at x=1.

Determine if f defined by f(x) = {(x^(2)"sin" (1)/(x)",","if" x ne 0),(0",","if" x= 0):} is a continuous function?

Let f(x) be defined by f(x) = {{:((|x^(2) - x|)/(x^(2) - x),x ne 0"," 1),(1, x = 0),(-1,x = 1):} Then f(x) is continuous for all :

Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?

Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?

Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?

Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?

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