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

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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.

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