Step 1 : \ \

The function is   and the point .

a-i) 

Definition 1: 

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

provided that this limit exists.

Apply the limit .

The slope of the tangent line is 2. \ \

Step 2 : \ \

a-ii)

Equation 2 :  

Here a = 1. 

Evaluate : \ \

Evaluate :

Substitute and  in above equation. \ \

\ \ Apply the limit . \ \

Step 3 : \ \

b)  

Point-slope form . \ \

Substitute slope and the point . \ \  

Solution :

a) The slope of the tangent line is 2.

b) The equation of tangent line