1. Find the values of a for which the series for those values of a. n=0 (x + 3)" 2n converges. Find the sum of the series 2. Use the Comparison Test to determine whether the series divergent. 3. Evaluate the indefinite integral da as an infinite series. 4. Find and equation of the sphere that passes through the origin and whose center is (1,2,3). n=0 is convergent or

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Find the values of x for which the series
for those values of a.
n=0
(x+3)"
2n
converges. Find the sum of the series
n³
nª 1
2. Use the Comparison Test to determine whether the series
divergent.
3. Evaluate the indefinite integral fe²-1₁
-dar as an infinite series.
4. Find and equation of the sphere that passes through the origin and whose center is (1,2,3).
n=0
is convergent or
Transcribed Image Text:1. Find the values of x for which the series for those values of a. n=0 (x+3)" 2n converges. Find the sum of the series n³ nª 1 2. Use the Comparison Test to determine whether the series divergent. 3. Evaluate the indefinite integral fe²-1₁ -dar as an infinite series. 4. Find and equation of the sphere that passes through the origin and whose center is (1,2,3). n=0 is convergent or
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