SOLUTION: Hi, please help me in finding this. lim┬(x→5) ((x-5)/(x^2-5))
Which is correct? a, b, c or d? Would very much appreciate detailed workings if possible so I can better
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Question 991901: Hi, please help me in finding this. lim┬(x→5) ((x-5)/(x^2-5))
Which is correct? a, b, c or d? Would very much appreciate detailed workings if possible so I can better understand this question. Much Thanks.
a) 0
b) 10
c) 20
d) The limit is not defined.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the answer for this one would be 0.
the equation is (x-5) / (x^2 - 5).
when x = 5, this becomes 0 / 20 which is equal to 0.
if you said as x approaches sqrt(5), then the answer would be undefined.
that's because at x = sqrt(5), the denominator of x^2 - 5 would be equal to 0.
this can be seen on the graph.
in fact, the graph is undefined when x is equal to plus or minus sqrt(5).
the sqrt(5) is equal to 2.236 rounded to 3 decimal places.
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