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[Solved] Limit question

 
Limits
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June 15, 2021 2:48 pm
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(@armor)
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\lim_{x\rightarrow \infty }\frac{(a-3)x^3-4x^2+x-5}{(b-2)x^2+3}=4\Rightarrow a+b=?

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June 15, 2021 2:48 pm
Topic starter
Staff 
(@armor)
Admin
  Honorable Member
317 Posts
156 153 0

Since the result is a real number the degrees of numerator and denominator must be same.

\small \Rightarrow a-3=0\Rightarrow a=3

\small \frac{-4}{b-2}=4  

\small b-2=-1\Rightarrow b=1.

\small \Rightarrow a+b=3+1=4.

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