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¸ñ·Ï 2xxx-1 Final Exam 1 2xxx-1 Final Solution 5 2xxx-1 Midterm Exam11 2xxx-1 Midterm Solution 15 2xxx-1 Midterm Exam23 2xxx-1 Midterm Solution 27 2xxx-1 Spring Final Solution 38
Calculus I 2xxx Spring Final Solution

1. Determine whether the following series converges or diverges.

ÉèÉ×
þªþ° Éåln ÉæÉêln Éåln ÉæÉë
ÉÖ
¡Ä
ÉÕ
ÉÕ (sol) Let Éå Éæ Éè þ° ln Éêln Éåln ÉæÉëÉÖ Then Éå Éæ ¡ÃÉ×. ÉÕ Let Éè ln Éåln Éæ ¢¡ Éè þ° ln ¢¡ ÉÕ ÉÕ Éü þ° Éè Éü þ° ln Éêln Éåln ÉæÉë
ÉÖ ÉÖ
is a continuous, positive and decreasing functio
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Calculus I 2xxx Spring Final Solution
1. Determine whether the following series converges or diverges.

ÉèÉ×

þªþ° Éåln ÉæÉêln Éåln ÉæÉë
ÉÖ

¡Ä

ÉÕ

ÉÕ (sol) Let Éå Éæ Éè þ° ln Éêln Éåln ÉæÉëÉÖ Then Éå Éæ ¡ÃÉ×. ÉÕ Let Éè ln Éåln Éæ ¢¡ Éè þ° ln ¢¡ ÉÕ ÉÕ Éü þ° Éè Éü þ° ln Éêln Éåln ÉæÉë
ÉÖ ÉÖ

is a continuous, positive and decreasing functio


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