Let f be a function defined by `f(x) = {:{((|x-1|)/(2(x-1)),xne1),(3,x=1):}` Does ` underset(xrarr1)Lt`f(x) exist? If n, explain.

Similar Questions

Explore conceptually related problems

If the function f:[1,∞)→[1,∞) is defined by f(x)=2 ^(x(x-1)) then f^-1(x) is

Let f : R rarr R be the functions defined by f(X) = x^3 + 5 , then f^-1 (x) is

If ‘f’ is a real function defined by : f(x)= (x-1)/(x+1) , then prove that f (2x) = (3 f(x)+1)/(f(x)+3) .

Examine the continuity of f(x)={((|x-3|)/(x-1)" , "xne3),(1" , "x=3):} at x=3.

Let f : R rarr R be defined by f(x) = 3x - 4, then f^-1 (x) =

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : f/g .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : g/f .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : f - g .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : f + g .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : g - f .