Evaluate the following limit$.$

ModifyingBelow lim With x right arrow $2$ StartRoot x squared plus $5$ EndRootlimx$2$x$2+5$

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Part $1$

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

A$.$

ModifyingBelow lim With x right arrow $2$ StartRoot x squared plus $5$ EndRootlimx$2$x$2+5$equals$=$enter your response here$,$

because

xsquared$2$plus$+55$

is continuous for all x and the square root function is continuous for all

xgreater than or equals$0.$

$($Type an integer or a$$ fraction.$)$

B$.$

The limit does not exist and is neither

infinity

nor

minus$$infinity$.$