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Use the Table of Values of F to Estimate the Limit

Question 190

Multiple Choice

Use the table of values of f to estimate the limit.
-Let f(x) =sin(3x) xf ( x ) = \frac { \sin ( 3 x ) } { x } , find limx0f(x) \lim _ { x \rightarrow - 0 } f ( x )
x0.10.010.0010.0010.010.1f(x) 2.999550022.99955002\begin{array}{l|c|c|c|c|c|c}x & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \\\hline \mathrm{f}(\mathrm{x}) & & 2.99955002 & & & 2.99955002 &\end{array}


A) limit =0= 0
B) limit =2.5= 2.5
C) limit =3= 3
D) limit does not exist

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