Question

Evaluate the limit as approaches positive infinity of the following expression:

lim→+[infinity] 3ˣ⁺¹ + 5ˣ⁺¹ / 3ˣ + 5ˣ

Answer 1

The limit of the expression as x approaches positive infinity is 1.

Step-by-step explanation:

To evaluate the limit as x approaches positive infinity of the expression (3ˣ⁺¹ + 5ˣ⁺¹) / (3ˣ + 5ˣ), we can use the concept of limits. Since the exponent of x in the numerator and denominator is the same, we can divide the expression by x^x to simplify it. This gives us (3 + 5) / (3 + 5) = 1. Therefore, the limit of the expression as x approaches positive infinity is 1.