16.04.07

C

CALCULUS TEST 1

1. Use the Bounded Monotone Sequence Theorem to find the limit
for

2. Use the Squeeze Principle to find the limit
for

3. Find the following limits

a)
b)
c)

4. Classify the following series

a)
b)

5. Show that the following limit does not exist

.

* 6. (5p.) Is it possible that a series which converges to number 6, after a rearrangement of terms converges to number 2?

7. Use the definition of the derivative to find
for
.

8. Find the following derivatives

a)
b)
.

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