7n5-4nFor the following answer blanks, decide whether the given sequence or series is convergent ordivergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent,enter 'infinity' if it diverges to co, -infinity' if it diverges to -oo or 'DNE' otherwise.(a) The serie 5 4T(b) The sequence5-4n

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Asked Jun 1, 2019
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7n
5-4n
For the following answer blanks, decide whether the given sequence or series is convergent or
divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent,
enter 'infinity' if it diverges to co, -infinity' if it diverges to -oo or 'DNE' otherwise.
(a) The serie 5 4T
(b) The sequence
5-4n
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7n 5-4n For the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter 'infinity' if it diverges to co, -infinity' if it diverges to -oo or 'DNE' otherwise. (a) The serie 5 4T (b) The sequence 5-4n

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Expert Answer

Step 1

(a)

we are given a series as

 

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Step 2

We can use divergence test

So, we can find limit of the nth term

 

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Step 3

Since, the value of limit is finite 

So, by diver...

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Calculus