View the step-by-step solution to: (1) (2) (a) Use the rectangles in each graph to

(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.
1.docx

(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
πx
3

(5) Find the limit of
lim x1 (ln 4x + ex)

(6) Find the limit of
lim xπ/2
8 cos x
cot x

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