Use$$ l$\text{'}$H$$pital$\text{'}$s Rule to evaluate

ModifyingBelow lim With x right arrow minus $7$ StartFraction x plus $7$ Over x squared minus $49$ EndFraction

$.$

Then determine the limit using limit laws and commonly known limits$.$

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Part $1$

Use$$ l$\text{'}$H$$pital$\text{'}$s Rule to rewrite the given limit so that it is not an indeterminate form.

ModifyingBelow lim With x right arrow minus $7$ StartFraction x plus $7$ Over x squared minus $49$ EndFraction

equalsModifyingBelow lim With x right arrow minus $7$ left parenthesis nothing right parenthesis