Grade 12Algebra

for what values of a and b lim x?8 ((x²+1)÷(x+1))-ax-b =0

Kumkum

12 Years agoGrade 12

1 Answer

Jitender Singh

12 Years ago

Ans:

$\lim_{x\rightarrow \infty }\frac{x^{2}+1}{x+1}-ax-b = 0$

$\lim_{x\rightarrow \infty }\frac{x^{2}+1-ax^{2}-bx-ax-b}{x+1}= 0$

$\lim_{x\rightarrow \infty }\frac{x^{2}(1-a)+x(-a-b)+1-b}{x+1}= 0$

$1-a = 0$

$a = 1$

$-a-b = 0$

$b = -a = -1$

$a = 1, b = -1$

Thanks & Regards

Jitender Singh

IIT Delhi

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for what values of a and b lim x?8 ((x²+1)÷(x+1))-ax-b =0

Kumkum

1 Answer

Jitender Singh

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