Continuity of a function:

A function f(x) is called be continuous at x = a if  = f(a) 

i.e. L.H.L.=R.H.L. = value of the function at a i.e. .

If f(x) is not continuous at x = a, we may that f(x) is discontinuous at x = a.

Geometrical meaning: The given function 'f' may be continuous at x = a if there is no break in the diagram of the function y = f(x) at the point (a, f(a)).

Reasons for discontinuity of a funciton

One of the subsequent can be the reasons for the discontinuity of f(x)

(i)          exist but are not same. For example f(x)=[x] is discontinuous at all integer points.

(ii)         exist and are same but not similar to f(a). for example f(x)=[sinx] where f(x) = [sinx] at x ∈ (0,Π) at x = Π/2

(iii)       when f(x) is not described at x=a. For example f(x)=1/x-1(iv) At least one of the limits does not exist or atleast one of these limits is ∞ or -∞.

Email based Continuity of a function Assignment Help -Continuity of a function Homework Help

We at www.expertsmind.com offer email based Continuity of a function assignment help - homework help and projects assistance from k-12 school level to university and college level and engineering and management studies. We provide finest service of Mathematics assignment help and Mathematic homework help. Our experts are helping students in their studies and they offer instantaneous tutoring assistance giving their best practiced knowledge and spreading their world class education services through e-Learning program.

Expertsmind's best education services

• Quality assignment-homework help assistance 24x7 hrs
• Best qualified tutor's network
• Time on delivery
• Quality assurance before delivery
• 100% originality and fresh work