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Evaluate limit as x rightwards arrow 5 of fraction numerator short dash 3 x plus 7 space over denominator open parentheses x minus 5 close parentheses squared end fraction numerically.A. 0B. Does not existC. short dash infinityD. infinity

Question

Evaluate limit as x rightwards arrow 5 of fraction numerator short dash 3 x plus 7 space over denominator open parentheses x minus 5 close parentheses squared end fraction numerically.A. 0B. Does not existC. short dash infinityD. infinity

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Solution

To evaluate the limit of a function as x approaches a certain value, we substitute that value into the function. However, in this case, if we substitute x=5 into the function, we get a 0 in the denominator, which is undefined. This means we have to use a different method.

The function is a rational function and the degree of the numerator is less than the degree of the denominator. In such cases, if the denominator approaches 0, the whole function will approach 0.

So, the answer is A. 0.

This problem has been solved

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