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Galina-37 [17]
3 years ago
12

Use the graph of the function f to determine the given limit.

Mathematics
1 answer:
k0ka [10]3 years ago
3 0

We have been given graph of a piece-wise function. We are asked to find the limit of function as x approaches -3.

We can see that our given function has a jump discontinuity at x=3, while our function is continuous at x=-3.

We can see that the equation of line is y=1 from negative infinity to x=3.

The limit of f(x) as x approaches -3 from left side is 1 and limit of f(x) as x approaches -3 from right side is 1 as well. The value of f(-3)=1.

Since left hand side limit is equal to right hand side limit and it is equal to 1, therefore, \lim _{x\to -3}f\left(x\right)=1.

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