Question
Asked Feb 2, 2020
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Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report
answers accurate to at least six decimal places.)
tan(4r) – tan(2x)
- 2x
Let f(x) =
tan(4x)
tan(2x) - 2x
–
We want to find the limit lim
Start by calculating the values of the function for the inputs listed in this table.
f(x)
0.2
0.1
0.05
0.01
0.001
0.0001
tan(4x)
tan(2x) - 2
Based on the values in this table, it appears lim
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Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report answers accurate to at least six decimal places.) tan(4r) – tan(2x) - 2x Let f(x) = tan(4x) tan(2x) - 2x – We want to find the limit lim Start by calculating the values of the function for the inputs listed in this table. f(x) 0.2 0.1 0.05 0.01 0.001 0.0001 tan(4x) tan(2x) - 2 Based on the values in this table, it appears lim Preview %3D

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Expert Answer

Step 1

Given: find the limit of

Calculus homework question answer, step 1, image 1
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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...

Calculus homework question answer, step 3, image 1
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