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Question
In exercise problems 7 – 15, use the graph to find the limits (if it exists). If the limit does not exist, explain why?
`lim_(x -> 3) 1/(x - 3)`
Solution
To find `lim_(x -> 3) 1/(x - 3)`
y = f(x) = `1/(x - 3)`
From the graph the value of the function at x = 3 the curve does not meet the line x = 3
∴ The value of the function is not defined at the point x = 3.
Hence `lim_(x -> 3) 1/(x - 3)` does not exist at x = 3.
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