Question

how can i compute the limit of cos(x)/x as x approaches positive infinity?

Answer 1

cosine is bounded between 1 and -1, and x goes to infinity so the limit is zero

Answer 2

squeeze theorem?

Answer 3

no it is easier than that. max of numerator is 1, and denominator goes to infinity. so the very biggest this can be is 1/x i guess you can say squeeze. max is 1/x, min is -1/x. fine