Use the properties of limits to help decide whether each limit exists. If a limit$$ exists, find its value.

ModifyingBelow lim With x right arrow infinity StartFraction $8$ x squared plus $2$ x Over $4$ x squared minus x plus $1$ EndFractionlimx$$$8$x$2+2$x$4$x$2$x$+1$

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Part $1$

Select the correct choice below$$ and, if$$ necessary, fill in the answer box within your choice.

A$.$

ModifyingBelow lim With x right arrow infinity StartFraction $8$ x squared plus $2$ x Over $4$ x squared minus x plus $1$ EndFractionlimx$$$8$x$2+2$x$4$x$2$x$+1$equals$=$enter your response here

$($Simplify your answer. Type an integer or a$$ fraction.$)$

B$.$

The limit does not exist and is neither

infinity

nor

minus$$infinity$.$