lim_(x rarr0)(-3x^(3)-7x+8)=

Identify Function & Limit Point: Identify the function and the limit point. We are given the function f(x) = -3x^3 - 7x + 8 and we need to find the limit as x approaches 0.Plug in Value: Plug in the value of x approaching the limit point into the function. Since we are looking for the limit as x approaches 0, we substitute x with 0 in the function f(x). f(0) = -3(0)^3 - 7(0) + 8Simplify After Substitution: Simplify the function after substitution. f(0) = -3(0) - 7(0) + 8 f(0) = 0 - 0 + 8 f(0) = 8Conclude Limit: Conclude the limit based on the simplification. The limit of the function as x approaches 0 is 8.

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$\lim _{x \rightarrow 0}\left(-3 x^{3}-7 x+8\right)=$

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Grade 8

Powers with negative bases

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\lim _{x \rightarrow 0}\left(-3 x^{3}-7 x+8\right)=

Identify Function & Limit Point: Identify the function and the limit point. $\newline$ We are given the function $f(x) = -3x^3 - 7x + 8$ and we need to find the limit as $x$ approaches $0$ .
Plug in Value: Plug in the value of $x$ approaching the limit point into the function. $\newline$ Since we are looking for the limit as $x$ approaches $0$ , we substitute $x$ with $0$ in the function $f(x)$ . $\newline$ $f(0) = -3(0)^3 - 7(0) + 8$
Simplify After Substitution: Simplify the function after substitution. $\newline$ $f(0) = -3(0) - 7(0) + 8$ $\newline$ $f(0) = 0 - 0 + 8$ $\newline$ $f(0) = 8$
Conclude Limit: Conclude the limit based on the simplification. $\newline$ The limit of the function as $x$ approaches $0$ is $8$ .