What is the limit of #(sqrt(x+5) - 3)/(x - 4)# as x approaches 4?
2 Answers
Let's multiply both numerator and denominator of this expression by #sqrt(x+5)+3# to get rid of undefined #0/0# value.
Assuming #x!=4# in our expression,
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As #x->4# , this expression tends to #1/(sqrt(4+5)+3)=1/6# .
Therefore,
Explanation:
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Using the L'Hospital Rule,