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Find the limits. Write $\infty$ or $-\infty$ where appropriate.$$\lim \left(\frac{x^{2}}{2}-\frac{1}{x}\right) \text { as }$$a. $x \rightarrow 0^{+}$b. $x \rightarrow 0^{-}$c. $x \rightarrow \sqrt[3]{2}$d. $x \rightarrow-1$

(a) $-\infty$(b) $\infty$(c) 0(d) $3 / 2$

Calculus 1 / AB

Chapter 2

Limits and Continuity

Section 6

Limits Involving Infinity; Asymptotes of Graphs

Limits

Continuous Functions

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the given impression. We're getting this expression. We have to find out the values on limits approached these values from a today Just started a first. It's gonna be ex clear, but t minus one. Blacks ni approaches zero from the positive side. So we can just simply write this as zero squirt fight tick minus one by zero. It's gonna be something along lines off zero minus infinity Center to your here. Richard's gonna be Myers infinity. No, for B, we have zero from the negative side. That's gonna be something like, See, you all square on to my ass. One, I am minus you up. I just say that it's a very small number, but it's a fortune zero. So since it's where here, it's not gonna matter. You're going to get something like zero minus minus infinity, which becomes plus infinity. That sounds therefore be for C Get, uh, the tour would have to What? So you get something wrong? Minds off three to hold square by two minus one by cover off to Mr come someplace to to buy three to minus one till 153 No, we can combined them. We get something like two to buy three into 21 by three, of course, will be added anyways minus two by two, 21 by three. This becomes something like tu minus steel to to balm by Italy. We do not have to solve this far here because we see that just become zero. It's gonna be zero by this year. This in turn becomes zero. So the answer is zero a four party he African states minus two. Right? So we can, despite their cells minus Oh, I'm sorry. It's not my mysterious. It's just minus one. That's my bad. So anyways, we're going to get something like minus one square. I tell my one on minus one that shares one by till plus one. This is a three by two. That's the answer.

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