Question

definition of continuous function at a point
definition​

Answer 1

In other words, a function f is continuous at a point x=a, when

(i) the function f is defined at a,

(ii) the limit of f as x approaches a from the right-hand and left-hand limits exist and are equal, and

(iii) the limit of f as x approaches a is equal to f(a).

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Answer 2

Answer:

In other words, a function f is continuous at a point x=a, when (i) the function f is defined at a, (ii) the limit of f as x approaches a from the right-hand and left-hand limits exist and are equal, and (iii) the limit of f as x approaches a is equal to f(a).

Step-by-step explanation: