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(a) By graphing the function $f(x)=(\cos 2 x-\cos x) / x^{2}$ and zooming in toward the point where the graph crosses the $y$ -axis, estimate the value of $\lim _{x \rightarrow 0} f(x)$(b) Check your answer in part (a) by evaluating $f(x)$ for values of $x$ that approach $0 .$

(a) $\lim _{x \rightarrow 0} f(x)=-1.5$(b) $\lim _{x \rightarrow 0} f(x)=-1.5$

Calculus 1 / AB

Chapter 2

Limits

Section 3

Limits of Functions at Finite Numbers

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they want us to determine the limit. As X approaches, Zero of the function co signed two ex mice Coast on X over X word by first graphing to function as well as evaluating values that are close to X is equal to zero. So I went ahead and did both of those already this chart over here I used Excel to help make, Let's see. So approaching from the left, it looks like it's getting really close to negative 1.5 and as well. From the right, it looks like it's getting really close to negative 1.5. So we might expect that the limit as experts zero of our function would be negative 1.5. And if we were to zoom in on our graph that we had over here, this right here was negative 1.5. So it looks like the Graf also supports what we get from our table here.

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