(1)

(2)

(a) Use the rectangles in each graph to approximate the area of the region bounded by y = 5/x, y

= 0, x = 1, and x = 5. (Round your answers to three decimal places.)

figure (1)

figure...
(1)

(2)

(a) Use the rectangles in each graph to approximate the area of the region bounded by y = 5/x, y

= 0, x = 1, and x = 5. (Round your answers to three decimal places.)

figure (1)

figure (2)

(b) Describe how you could continue this process to obtain a more accurate approximation of the

area.

Continually decrease the height of all rectangles. Continually increase the height of all

rectangles. Continually decrease the number of rectangles. Continually increase the number of

rectangles.

(2) Use the graph of the function f to decide whether the value of the given quantity exists. (If an

answer does not exist, enter DNE.)

(a)

f(2)

(b)

lim x2 f(x)

(c)

f(0)

(d)

lim x0 f(x)

(e)

f(2)

(f)

lim x2 f(x)

(g)

f(4)

(h)

lim x4 f(x)

(4) Find the limit.

lim x7 cos

x

3

(5) Find the limit of

lim x1 (ln 4x + ex)

(6) Find the limit of

lim x/2

8 cos x

cot x

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