Question

help with trig limit?

Answer 1

question?

Answer 2

\[\lim_{x \rightarrow \infty} (x/sinx)\]

Answer 3

what do you think it is

Answer 4

don't quite understand how it works... teacher brought up the answer "-infinity", wolfram says undefined, and I'm not very good at taking infinity limits of trig functions

Answer 5

numerator obviously continues to infinity without bounds... however sin(x) is the problem and i do not see how to bring about -infinity.

Answer 6

Well, the sine curve oscillates, so as the value of x becomes larger and larger, the function it'll keep going back and fourth from positive to negative. Since the function keeps oscillating and never really reaches any finite value, the limit does not exist.