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    OK, so we want the limit as X goes to zero from the right. Zero from the right would give us square root of X. So sqrt 0 is just zero. I used this equation 'cause it said from the right. Now, if we want the limit as X goes to zero from the left of X ^2 sine 1 / X, we're going to rewrite this so that we have our signed portions by themselves and we're going to put everything else down at the end. Now, if I have 1 / X as my angle here, I need to have 1 / X in the denominator. If I put 1 / X in the denominator, you're going to tell me we have to put 1 / X in the numerator. If there is no value in this denominator down here, it's understood to be over one. So now we have the limit as X goes to zero from the left of sign 1 / X / 1 / X times the limit as X goes to zero from the left of plain old X because X ^2 / X reduces, so we get 1 * 0 or zero. What can we say about the limit as X approaches zero of F of X? We can say it's got to equal 0 because the left side and the right side have the same limit value.