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Q. 36

Expert-verifiedFound in: Page 876

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.

$\underset{x\to 0}{lim}f\left(x\right),f\left(x\right)=\left\{\begin{array}{ll}x-1& ifx<0\\ 3x-1& ifx\ge 0\end{array}\right.$

The limit f function at x=0 is -1

The given function $\underset{x\to 0}{lim}f\left(x\right),f\left(x\right)=\left\{\begin{array}{ll}x-1& ifx<0\\ 3x-1& ifx\ge 0\end{array}\right.$

To find the limit we have to draw the graph of its

We know that at the limit point as x-factor is near to limit points so that time y tends to a specific value, that specific value is the value of the function at the limit point

so according to the question, we can see in the pieces of both graphs when x is near 0, then y approach -1

Thus the limit of the given function is evaluated by -1

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