1. Zero
2. Infinite
3. Log 2
4. Not defined as the series is not convergent
Log 2
1. 0
2. x>1/e
3. 2/e
4. 3/e
0<x<1/e
1. un
2. un
3. un>un+1 and un→0 as n→∞
4. un>un+1 or un→∞ as n→∞
un<un+1 and un→0 as n→∞
1. Convergent if b-a
2. Convergent if b≤1+a and divergent if b>1+a
3. Convergent if b>1+a and divergent if b≤1+a
4. Convergent if b≥1+a and divergent if b
5.
Convergent if b>1+a and divergent if b≤1+a
1. Convergent if x≥(1/e)
2. Divergent if x≥(1/e)
3. Convergent if x>(1/e)
4. Divergent if x≤(1/e)
Divergent if x≥(1/e)
1. p>1
2. p≥1
3. p
4. p≤1
p≤1
1. Convergent if k>0
2. Divergent if k≥0
3. Divergent if k
4. Both (a) and (c)
Both (a) and (c)
1. Convergent if p
2. Convergent if p≤1 and divergent if p>1
3. Convergent if p>1 and divergent if p≤1
4. Convergent if p≥1 and divergent if p
Convergent if p>1 and divergent if p≤1
1. Convergent if x>0
2. Divergent if x>0
3. Convergent if x>1
4. Divergent if -1
Divergent if x>0
1.
2.
3.
4.