The point [math]

(a) If [math]

(1) .5 (2) .9

(3) .99 (4) .999

(5) 1.5 (6) 1.1

(7) 1.01 (8) 1.001

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(b) Guess the slope of the tangent line to the curve at [math]

Slope =

(c) Using the slope from part (b), find the equation of the tangent line to the curve at [math]

[math]

Your overall score for this problem is