The curve is , where is an integer.

Graph :

Graph the curve :

When (i) .

           (ii) , is an odd.

           (iii) , is an even.

           (iv) , is an odd.

           (v) , is an even.

(a)

Find .

Observe the graph of as tends to from right side :

(i) .

(ii) .

(iii) .

(iv) .

(v) .

(b)

Find .

Observe the graph of as tends to from left side :

(i) .

(ii) .

(iii) .

(iv) .

(v) .

(c)

Find .

Observe the graph of as tends to :

(i) .

(ii) .

(iii) .

(iv) .

(v) .

(d)

Find .

Observe the graph of as tends to :

(i) .

(ii) .

(iii) .

(iv) .

(v) .

(a)

(i) , (ii) , (iii) , (iv) and (v) .

(b)

(i) , (ii) , (iii) , (iv) and (v) .

(c)

(i) , (ii) , (iii) , (iv) and (v) .

(d)

(i) , (ii) , (iii) , (iv) and (v) .