lim_(x rarr4)(2x+1)/(-3x+3)=

Identify Limit Form: Identify the form of the limit as x approaches 4. We substitute x with 4 in the expression (2x+1)/(-3x+3) to see if the limit can be directly calculated. (2*4+1)/(-3*4+3) = (8+1)/(-12+3) = 9/(-9) = -1. Since we get a determinate form (not 0/0 or ∞/∞), we can conclude that the limit is -1.Substitute x with 4: Conclude the limit based on the calculation from Step 1. Since we obtained a numerical value in Step 1, we can conclude that the limit of (2x+1)/(-3x+3) as x approaches 4 is -1.

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$\lim _{x \rightarrow 4} \frac{2 x+1}{-3 x+3}=$

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Grade 6

Multiply two decimals: where does the decimal point go?

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\lim _{x \rightarrow 4} \frac{2 x+1}{-3 x+3}=

Identify Limit Form: Identify the form of the limit as $x$ approaches $4$ . We substitute $x$ with $4$ in the expression $\frac{2x+1}{-3x+3}$ to see if the limit can be directly calculated. $\frac{2\cdot 4+1}{-3\cdot 4+3} = \frac{8+1}{-12+3} = \frac{9}{-9} = -1$ . Since we get a determinate form (not $0/0$ or $\infty/\infty$ ), we can conclude that the limit is $-1$ .
Substitute $x$ with $4$ : Conclude the limit based on the calculation from Step $1$ . $\newline$ Since we obtained a numerical value in Step $1$ , we can conclude that the limit of $(2x+1)/(-3x+3)$ as $x$ approaches $4$ is $-1$ .