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Sagot :
To determine the nonpermissible replacement for [tex]\( n \)[/tex] in the expression
[tex]\[ \frac{n-8}{n-8}, \][/tex]
we need to find the values of [tex]\( n \)[/tex] that make the denominator equal to zero. Division by zero is undefined, hence these are the values for which the expression is undefined.
Here's the step-by-step process:
1. Identify the denominator of the expression:
[tex]\[ n - 8 \][/tex]
2. Set the denominator equal to zero to find the critical values:
[tex]\[ n - 8 = 0 \][/tex]
3. Solve for [tex]\( n \)[/tex]:
[tex]\[ n = 8 \][/tex]
So, the expression [tex]\(\frac{n-8}{n-8}\)[/tex] is undefined when [tex]\( n \)[/tex] is 8. Thus, the nonpermissible replacement for [tex]\( n \)[/tex] is:
[tex]\[ \boxed{8} \][/tex]
[tex]\[ \frac{n-8}{n-8}, \][/tex]
we need to find the values of [tex]\( n \)[/tex] that make the denominator equal to zero. Division by zero is undefined, hence these are the values for which the expression is undefined.
Here's the step-by-step process:
1. Identify the denominator of the expression:
[tex]\[ n - 8 \][/tex]
2. Set the denominator equal to zero to find the critical values:
[tex]\[ n - 8 = 0 \][/tex]
3. Solve for [tex]\( n \)[/tex]:
[tex]\[ n = 8 \][/tex]
So, the expression [tex]\(\frac{n-8}{n-8}\)[/tex] is undefined when [tex]\( n \)[/tex] is 8. Thus, the nonpermissible replacement for [tex]\( n \)[/tex] is:
[tex]\[ \boxed{8} \][/tex]
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