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Limit Laws and Rule Evaluation Quiz
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Limit Laws and Rule Evaluation Quiz

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@SupremeDiscernment

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Questions and Answers

In calculus, the study of the rate of change is also known as Differential Calculus.

True

The Identity Rule in calculus states that the derivative of a constant function is 0.

False

The Sum Rule in calculus states that the derivative of a sum of two functions is equal to the sum of their derivatives.

True

According to the Constant Rule in calculus, the derivative of a constant multiple times a function is equal to the constant multiple times the derivative of the function.

<p>True</p> Signup and view all the answers

According to the Difference Rule in calculus, the derivative of a difference of two functions is equal to the difference of their derivatives.

<p>True</p> Signup and view all the answers

The limit of a function as it approaches $c$ is always equal to its value at $c$.

<p>False</p> Signup and view all the answers

The numerical representation of the limit of a function refers to the value that the function actually reaches.

<p>False</p> Signup and view all the answers

The Limit Law states that the derivative of a constant multiple times a function is equal to the constant multiple times the derivative of the function.

<p>False</p> Signup and view all the answers

A function must be defined at $f(c)$ for the limit of the function to exist as $x$ approaches $c$.

<p>False</p> Signup and view all the answers

As $x$ approaches 0, if $f(x)$ approaches 0.25 from both left and right sides, then the limit of $f(x)$ as $x$ approaches 0 is 0.25.

<p>True</p> Signup and view all the answers

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