# Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you reportanswers accurate to at least six decimal places.)tan(4r) – tan(2x)- 2xLet f(x) =tan(4x)tan(2x) - 2x–We want to find the limit limStart by calculating the values of the function for the inputs listed in this table.f(x)0.20.10.050.010.0010.0001tan(4x)tan(2x) - 2Based on the values in this table, it appears limPreview%3D

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Step 1

Given: find the limit of

Step 2

Now, calculating the values of function for different values of x.

 x f(x) 0.2 25.85566 0.1 20.08318 0.05 19.00290 0.01 18.67990 0.001 18.66679 0.0001 18.66666

So, form the table, we guess the value of limit of function for the value of x tends to 0, then the value of function tends to 18.666667. Hence, the value function for limit x tends to 0 is 18.666667.

Step 3

Now, we check the limit by solving the...

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