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Chapter 14: Q. 9 (page 889)

Iflimx→cf(x)=f(c),thenfis______at__.

Short Answer

Expert verified

continuous, c

Step by step solution

01

Step. 1 Given 

It is given that, limx→cf(x)=f(c).

02

Step. 2 Conclusion of f(x)

Since the limit limx→cf(x)exist and is equal to f(c)then it means f(x)is continuous at x=c.

Therefore, in the blanks if limx→cf(x)=f(c)then f is continuousat c.

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