- #1

Michele Nunes

- 42

- 2

## Homework Statement

lim (x)(sin(1/x))

x->∞

## Homework Equations

## The Attempt at a Solution

The correct answer is 1, however I do not understand why. I thought that 1/∞ is essentially 0 and sin(0) = 0 so the whole limit would be 0. When I graphed it, the limit did seem to approach 1 though. I don't understand why it doesn't work out algebraically.