16.04.07

D

CALCULUS TEST 1

1.(6p.) Use the Bounded Monotone Sequence Theorem to find the limit
for

2.(5p.) Use the Squeeze Principle to find the limit
for

3.(4p.+4p.+4p.) Find the following limits (do not use derivatives):

a)

b)
c)

4.(6p.+6p.) Classify the following series

a)
b)

5.(5p.) Show that the following limit does not exist

* 6.(5p. ) Why were the Napiers bones such a hit among merchants?

7.(5p.) Use the definition of the derivative to find
for
.

8.(5p.) Find the following derivatives

a)
, b)

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