Question

Determine the limit as x approaches infinity -4cos x:

a) −4 b) 4
c) 0
d) Does not exist

Answer 1

The limit as x approaches infinity for -4cos x is 4.

Step-by-step explanation:

To determine the limit as x approaches infinity for -4cos x, we can analyze the behavior of the cosine function as x becomes very large. The cosine function oscillates between -1 and 1, so as x approaches infinity, the values of cos x will also oscillate between -1 and 1. However, multiplying by -4 means the values will oscillate between -4 and 4. Therefore, the limit as x approaches infinity for -4cos x is option (b) 4.