03.04.03

A1

TEST I

Task. 1 (10p.) Evaluate the limits

a
)
; b)

.

Task 2 (6p.). Use the Squeeze Principle to evaluate

Task 3 (10p.) Evaluate the following limits (do not use derivatives)

a)
; b)

task 4 (7p.) Find such values of the parameters

and
that the function

is continuous on
.

Task 5 (10p.) Determine the convergence or divergence of the following series:

a)

; b)
.

Task 6 (7p.) Determine the convergence and the absolute convergence of the series:

.

(Remember to justify each step)

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