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MathsMediumMCQ2019 · 10 Apr Shift 2

Q73.If lim 𝑥2 - 𝑎𝑥+ 𝑏 = 5, then 𝑎+ 𝑏 is equal to: 𝑥→1 𝑥- 1 (1) 1 (2) 5 (3) – 4 (4) – 7

What This Question Tests

This problem requires applying the concept of limits for rational functions. Since the denominator approaches zero, the numerator must also approach zero for the limit to be finite, allowing for the determination of 'a' and 'b'.

Concepts Tested

L'Hopital's RuleFactorization method for limitsIndeterminate forms (0/0)

Formulas Used

lim x->a f(x)/g(x) = lim x->a f'(x)/g'(x) if 0/0 form

For 0/0 form, numerator must be 0 at x=a

📚 NCERT Sections This Tests

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3.23 The rate constant for the decomposition of hydrocarbons is 2.418 × 10–5s–1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.

📋 Question Details

Chapter: Limits & Continuity
Topic: Limits of rational functions
Year: 2019
Shift: 10 Apr Shift 2
Q Number: Q73
Type: MCQ
NCERT Ref: Class 11 Mathematics Ch 13: Limits and Derivatives

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