Step 1 : \ \

Definition:

The tangent line to the curve at the point is the line through point P with slope  

  provided that this limit exists.

Step 2 : 

(a)

The function is .

Now substitute limit

Step 3 : \ \

(b) \ \

 The tangent line at point : \ \

Substitute in m :

Point-slope form .

Substitute  , and  . \ \

Step 4 : 

The tangent line at point :

Substitute in m :

Point-slope form . 

Substitute  , and .

  \ \

Step 5 : \ \

c) The graph of the function and the tangent lines:

Solution :  \ \

(a) At the point equation of tangent line is .

(b) At the point equation of tangent line is 

(c) The graph of the function and the tangent lines: