Question
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Evaluate the following limit numerically, if it exists.

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Step 1

To evaluate the given limit numerically.

As x tends to 3, both numerator and denominator tends to zero. Since in the numerator 2(3-3)3=0 and in the denominator tan(pi) = 0.

As we are getting an indeterminate form 0/0, apply L'Hospital's rule. That is to differentiate the numerator and differentiate the denominator and then take the limit.

Step 2

Apply the L'Hospital's rule and f...

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