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Define Continuity of a Function at a Point. - Mathematics

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प्रश्न

Define continuity of a function at a point.

 
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उत्तर

 Continuity at a point:

A function 
\[f\left( x \right)\] is said to be continuous at a point x = of its domain, iff 
\[\lim_{x \to a} f\left( x \right) = f\left( a \right)\]
\[\text{ Thus,}  f\left( x \right) \text{ is continuous at }  x = a . \]
\[ \Leftrightarrow \lim_{x \to a} f\left( x \right) = f\left( a \right) \Leftrightarrow \lim_{x \to a^-} f\left( x \right) = \lim_{x \to a^+} f\left( x \right) = f\left( a \right)\]
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अध्याय 9: Continuity - Exercise 9.3 [पृष्ठ ४१]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 9 Continuity
Exercise 9.3 | Q 1 | पृष्ठ ४१

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