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Use the Table of Values of F to Estimate the Limit

Question 198

Multiple Choice

Use the table of values of f to estimate the limit.
-  Let f(x) =sin(6x) x, find limx0f(x) x0.10.010.0010.0010.010.1f(x) 5.996400655.99640065\begin{array}{l}\text { Let } f ( x ) = \frac { \sin ( 6 x ) } { x } , \text { find } \lim _ { x \rightarrow 0 } f ( x ) \\\begin{array} { l | c | c | c | c | c | c } x & - 0.1 & - 0.01 & - 0.001 & 0.001 & 0.01 & 0.1 \\\hline f ( x ) & & 5.99640065 & & & 5.99640065 &\end{array}\end{array}


A) limit = 6
B) limit = 5.5
C) limit does not exist
D) limit = 0

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