7.04.03

1B

TEST I

Task1.(10p) Evaluate the following limits

a)
; b)

Task 2(10p.) Evaluate the following limits (do not use derivatives)

a)
; b)

Task 3 (6p.) Use the Intermediate-Value Theorem to show that the equation

has a solution inthe interval
.

Task 4 (7p.) Determine the values of the parameters

i
for which the function

is continuous in

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

a)

; b)
.

Task 6 (7p.) Formulate the Leibnitz's Convergence Test and use it to determine convergence or divergence of the series

.

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