What is the answer for question 3) b. ?

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We can extend the table from 3(a) to find the secants from 2 to 2.001 and from 2 to 2.0001 etc...

The values we get are :

`x_1` `x_2` m

---- ---- ----

2 2.01 7.03

2 2.001 7.003

2 2.0001 7.0003

2 2.00001 7.00003

etc...

It seems that the slope of the tangent line at x=2 is 7. (This can be verified using calculus.)

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