f(x)=a(x^{2}) −8x lim f(x)=-1 xrightarrow2

f(x)=a(x^{2}) −8x lim f(x)=-1 xrightarrow2

Question
Functions
asked 2021-02-03
\(f(x)=a(x^{2}) −8x\)
\(lim f(x)=-1\)
\(x\rightarrow2\)

Answers (1)

2021-02-04
\(lim f(x)=-1\) Given \(x\rightarrow2\)
\(lim ax^{2}-8x=-1\) Substitute f(x)=ax^{2}-8x\) \(x\rightarrow2\)
\(a2^{2}−8(2)=-1\) Evaluate the limit by substituting x=2.
\(4a-16=-1\) Simplify.
\(4a=15\) Add 16 on both sides.
\(a=\frac{15}{4}\) Divide both sides by 4.
0

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