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Question
Evaluate the following limit:
`lim_(z -> -3) [sqrt("z" + 6)/"z"]`
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Solution
`lim_(z -> -3) sqrt("z" + 6)/"z"`
= `(lim_(z -> - 3) sqrt(z + 6))/(lim_(z -> - 3) "z") ...[because lim_(z -> -3) "z" ≠ 0]`
= `sqrt(-3 + 6)/-3`
= `sqrt(3)/-3`
= `-1/sqrt(3)`
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