A few days ago
Calculus: Ch. 1.4: Limits?
please help:
find the limit:
the limit of (2-x)/((x^2)-4) as x approaches 2 from the right
the limit of ((the square root of x) -2)/(x-4)
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A few days ago
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lim(x -> 2+) [ (2 – x) / (x^2 – 4) ]
= lim(x -> 2+) [ – (x – 2) / (x – 2)(x + 2) ]
= lim(x -> 2+) [ – 1 / (x + 2) ]
= – 1 / 4.
In lim (sqrt(x) – 2) / (x – 4),
put x = y^2.
lim [ (y – 2) / (y^2 – 4) ]
Based on the previous answer, the limit is the value of:
1 / (y^2 + 2)
= 1/4
provided you are taking the limit as y^2 -> 2+ or x -> sqrt(2)+.
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