[2] Σ Use the Direct/Basic Comparison Test to determine if 1 converges or diverges by 5+4n completing the following: n=1 (a) Fill in the blanks with the appropriate symbol (2 or s): for all positive integer values of n, n +4n n.Since f(x)=5* is an increasing function, it follows that 5 4 1 5, and consequently +4n 50 (b) Fill in the blanks to make a true statement: the series 5" =1 Test. per the (c) Fill in the blank to make a true statement: from parts (a) and (b), we can conclude Σ per the Direct/Basic that the series n2 +4n n=1 Comparison Test.

Question

Help for 2a,2b,2c. 

[2]
Σ
Use the Direct/Basic Comparison Test to determine if
1
converges or diverges by
5+4n
completing the following:
n=1
(a) Fill in the blanks with the appropriate symbol (2 or s): for all positive integer
values of n, n +4n
n.Since f(x)=5* is an increasing function, it follows that
5 4
1
5, and consequently
+4n
50
(b) Fill in the blanks to make a true statement: the series
5"
=1
Test.
per the
(c) Fill in the blank to make a true statement: from parts (a) and (b), we can conclude
Σ
per the Direct/Basic
that the series
n2
+4n
n=1
Comparison Test.
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Transcribed Image Text

[2] Σ Use the Direct/Basic Comparison Test to determine if 1 converges or diverges by 5+4n completing the following: n=1 (a) Fill in the blanks with the appropriate symbol (2 or s): for all positive integer values of n, n +4n n.Since f(x)=5* is an increasing function, it follows that 5 4 1 5, and consequently +4n 50 (b) Fill in the blanks to make a true statement: the series 5" =1 Test. per the (c) Fill in the blank to make a true statement: from parts (a) and (b), we can conclude Σ per the Direct/Basic that the series n2 +4n n=1 Comparison Test.