$\"\"$

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A function $\"\"$ is continuous at $\"\"$ , if $\"\"$ then it should satisfy three conditions :

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(1) $\"\"$ is defined.

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(2) $\"\"$ exists.

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(3) $\"\"$ .

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If $\"\"$ does not satisfies any of these three conditions, then $\"\"$ is said to be discontinuous.

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$\"\"$

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Observe the graph.

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The curve lies between $\"\"$ to $\"\"$ .

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The solid dot represents the value of the function included in the function and

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hallow circle represents the value of the function excluded from the function.

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The solid dot represents that the function is continuous at $\"\"$ .

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The hallow circle represents that the function is not continuous at $\"\"$ .

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The curve in the interval $\"\"$ is continuous.

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$\"\"$

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Observe the graph.

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The curve lies between $\"\"$ to $\"\"$ .

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The hallow circle represents the value of the function excluded from the function at $\"\"$ and $\"\"$ .

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The curve in the interval $\"\"$ is continuous.

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Observe the graph.

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The curve lies between $\"\"$ to $\"\"$ .

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The solid dot represents that the function is continuous at $\"\"$ .

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The value of the function at $\"\"$ is infinity.

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The curve lies in the interval $\"\"$ is continuous.

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$\"\"$

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Observe the graph.

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The curve lies between $\"\"$ to $\"\"$ .

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The value of the function at $\"\"$ is infinity.

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The hallow circle represents that the function is not continuous at $\"\"$ .

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The curve lies in the interval $\"\"$ is continuous.

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Observe the graph.

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The curve lies between $\"\"$ to $\"\"$ .

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The hallow circle represents the value of the function excluded from the function at $\"\"$ and $\"\"$ .

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The curve lies in the interval $\"\"$ is continuous.

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$\"\"$

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The graph $\"\"$ is continuous in the interval $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .