SOLUTION: In the following, find the indicated limit if it exists. Sketch the graph of the function. f(x) = {4x, x(>or equal to)1/2 {1/x, x<1/2 limf(x) x =-1/2

Algebra ->  Algebra  -> Vectors -> SOLUTION: In the following, find the indicated limit if it exists. Sketch the graph of the function. f(x) = {4x, x(>or equal to)1/2 {1/x, x<1/2 limf(x) x =-1/2      Log On

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Question 178243: In the following, find the indicated limit if it exists. Sketch the graph of the function.
f(x) = {4x, x(>or equal to)1/2
{1/x, x<1/2
limf(x)
x =-1/2
Answer by stanbon(48522) About Me  (Show Source):
You can put this solution on YOUR website!
In the following, find the indicated limit if it exists. Sketch the graph of the function.
f(x) = {4x, x(>or equal to)1/2
{1/x, x<1/2
limf(x)
x =-1/2
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Since you are taking the limit as x goes to -1/2, which is < 1/2,
apply the limit to (1/x).
--------------
lim(as x goes to -1/2) of (1/x) = 1/(-1/2) = -2
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Cheers,
Stan H.