3 Steps to Find Continuity of a Function | Piece-wise Function| Math Dot Com
A function f(x) is said to be continuous at a point x = c, in its domain if the following three conditions are satisfied for skipping ahead at 03:35 :
1) f(c) exists (i.e. the value of f(c) is finite)
2) Limx→c f(x) exists (i.e. the right-hand limit = left-hand limit, and both are finite)
3)Lim x→c f(x)=f(c)
so in order to prove that a function is continuous above three conditions should be satisfied.
Continuity of a function can also be determined through graph for that A function is continuous when its graph is a single unbroken curve.That means you could draw the graph without lifting the pen from paper.
Continuity of a function is explained with the help of two examples.
1) Find continuity of a simple function by using 3 steps of continuity test .For skipping ahead at 06:11
2) Find the continuity of piecewise defined function by using 3 conditions required for a function to be continuous for skipping ahead 10:18 .
For any query related to continuous function please comment below.
#continuity,#continuousfunction,#functionsandlimits,#continuitytest,#findcontinuity,#functionscontinuity
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