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Anuta_ua [19.1K]
3 years ago
14

PLEASE HELP IM ON A DEADLINE

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

Does not exist

Step-by-step explanation:

\sum _{n=1}^{\infty \:}(\frac{5n^5}{4n^5+5})

Apply the divergence test.

\lim_{n \to \infty} (\frac{5n^{5}}{4n^{5}+5})

⇒  diverges

If an infinite series is a divergent sequence, <u>it has no limit.</u>

~Hope this helps!~

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{\qquad\quad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

\qquad \sf  \dashrightarrow \:  {x}^{2}  +  \cfrac{1}{ {x}^{2} }  = 34

[ add 2 on both sides ]

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\qquad \sf  \dashrightarrow \:  {(x)}^{2}  +  { \bigg(\cfrac{1}{ {x}^{} } \bigg) }^{2}  + 2 \sdot(x)  \sdot  \bigg(\cfrac{1}{x} \bigg)  = 36

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\qquad \sf  \dashrightarrow \: {\bigg (x  +  \cfrac{1}{x}  \bigg) }^{2}  = 36

\qquad \sf  \dashrightarrow \: {\bigg (x  +  \cfrac{1}{x}  \bigg) }^{}  =  \sqrt{ 36}

\qquad \sf  \dashrightarrow \: x  +  \cfrac{1}{x}    =   \pm 6

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