Question

Help,please It’s calculus

Answer 1

The function is a continuous function at 2 if the LHL and RHL will be the same as the limit of the function.

What is continuity of a function?

It is defined as the property of a function in which the function varies continuous, and we plot the graph of a function it doesn't break.

We have a function:

$\rm f(x) = \left \{ {{x^2-x}, x\leq 2\atop {2x - 2 \ ,x > 2 \ } \right.$

If f(x) is a continuous, then it will follow:

f(2) = 2² - 2 = 4 - 2 = 2

Left-hand limit at 2 = right-hand limit at 2 = 2

Limit at 2 of a function = 2

Using limit, we can check the whether the function is differentiable or not.

Thus, the function is a continuous function at 2 if the LHL and RHL will be the same as the limit of the function.

Learn more about the continuous function here:

brainly.com/question/21447009

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