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Limits Continuity and Differentiability question

2012 · Shift 1 · Q36

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PYQ Library
JEE Advanced
Mathematics
Limits Continuity and Differentiability
2012 · Shift 1 · Q36

Limits Continuity and Differentiability question

2012 · Shift 1 · Q36

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityMCQ+3 / −1

If

\mathop {\lim }\limits_{x \to \infty } \left( {{{{x^2} + x + 1} \over {x + 1}} - ax - b} \right) = 4

, then

A
a = 1, b = 4
B
a = 1, b = $-$ 4
C
a = 2, b = $-$ 3
D
a = 2, b = 3

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