# #lim_(x rarr 4) (3 - sqrt(5 + x))/(1- sqrt(5 - x)) = ?#

##### 2 Answers

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The limit should approach -1/3, I screwed up the original answer.

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first multiply the top and bottom by the conjugate of the numerator and the conjugate of the denominator

plug in the limit value to get your answer:

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#### Answer:

The limit is

#### Explanation:

It is similar to both

but both in one expression.

So multiply

# = lim_(xrarr4)((4-x)(1+sqrt(5-x)))/((3+sqrt(5+x))(-(4-x))#

# = lim_(xrarr4)(-(1+sqrt(5-x)))/(3+sqrt(5+x))#

# = (-(1+sqrt1))/(3+sqrt9) = -2/6 = -1/3#

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