$\"\"$

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(a)

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Find $\"\"$ . \ \

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Sum law of limit : $\"\"$ .

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$\"\"$

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Observe the graph $\"\"$ .

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$\"\"$ .

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Observe the graph $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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(b)

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Find $\"\"$ .

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Sum law of limit : $\"\"$ .

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$\"\"$

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Observe the graph $\"\"$ .

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$\"\"$ .

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Observe the graph $\"\"$ .

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$\"\"$

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$\"\"$ .

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Left hand limit and right hand limit are not equal, so $\"\"$ does not exist. \ \

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$\"\"$ does not exist.

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$\"\"$

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(c)

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Find $\"\"$ .

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Product law of limit : $\"\"$ .

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$\"\"$

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Observe the graph $\"\"$ .

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$\"\"$ .

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Observe the graph $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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(d)

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Find $\"\"$ .

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Quotient law of limit : $\"\"$ , if $\"\"$ .

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Observe the graph $\"\"$ .

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$\"\"$ .

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Observe the graph $\"\"$ .

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$\"\"$ .

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$\"\"$

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Here $\"\"$ .

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So $\"\"$ does not exist.

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$\"\"$

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(e)

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Find $\"\"$ .

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Product law of limit : $\"\"$ .

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$\"\"$

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Power law of limit : $\"\"$ .

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$\"\"$

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Observe the graph $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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(f)

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Find $\"\"$ .

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Root law of limit : $\"\"$ .

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$\"\"$

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Sum law of limit : $\"\"$ .

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$\"\"$

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Observe the graph $\"\"$ .

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$\"\"$ .

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Constant law of limit : $\"\"$ . \ \

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$\"\"$

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$\"\"$ .

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$\"\"$

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(a) $\"\"$ .

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(b) $\"\"$ does not exist.

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(c) $\"\"$ .

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(d) $\"\"$ does not exist.

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(e) $\"\"$ .

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(f) $\"\"$ .