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Use a table of values to estimate the value of the limit.

lim (tan 3x/tan 5x)
x--> 0

I have no clue what to do. Could someone please explain how to go about this problem.

1 answer

Make a table where the first column is x, the second column is tan(3x), the third is tan(5x), and the last is tan(3x)/tan(5x).

Set your calculator to radians, and calculate the values of tan(3x) and tan(5x) for x=0.1, 0.01, 0.001...

From the values suggested by the last column, conclude the value of the limit.
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