Question

Evaluate the limit as x approaches negative infinity of the expression 7x+52 / 72x+5:

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A. 0
B. 7/72
C. -7/72
D. Infinity

Answer 1

To evaluate the limit as x approaches negative infinity of the expression 7x+52 / 72x+5, divide both the numerator and denominator by the highest power of x and simplify the expression. The limit is 7/72.

Step-by-step explanation:

To evaluate the limit as x approaches negative infinity of the expression 7x+52 / 72x+5, we can start by dividing both the numerator and denominator by the highest power of x. In this case, the highest power is x, so we divide both terms by x.

This gives us (7 + 52/x) / (72 + 5/x). As x approaches negative infinity, the terms with 52/x and 5/x become smaller and smaller, approaching zero.

Therefore, the limit of the expression is the same as 7/72.