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12. limits MATHS - 12. limits

Gujarat Board (GSEB) - STD 11 Science - MATHS (GSEB - English Medium). 484 questions in this chapter.

Question types

12. limits question types

484 questions across 1 question group — pick any mix to generate a MATHS paper with step-by-step answer keys.

484
Questions
1
Question groups
5
Question types
Sample Questions

12. limits questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
$\mathop {\lim }\limits_{x \to 1} \frac{1}{{|1 - x|}} = $
  • A
    $0$
  • B
    $1$
  • C
    $2$
  • ✓
    $\infty $

Answer: D.

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Q 2MCQ1 Mark
$\mathop {\lim }\limits_{n \to \infty } \frac{{n{{(2n + 1)}^2}}}{{(n + 2)({n^2} + 3n - 1)}} = $
  • A
    $0$
  • B
    $2$
  • ✓
    $4$
  • D
    $\infty $

Answer: C.

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Q 3MCQ1 Mark
$\mathop {\lim }\limits_{n \to \infty } \frac{{\sqrt n }}{{\sqrt n + \sqrt {n + 1} }} = $
  • A
    $1$
  • ✓
    $\frac{1}{2}$
  • C
    $0$
  • D
    $\infty $

Answer: B.

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Q 4MCQ1 Mark
$\mathop {\lim }\limits_{x \to \infty } {\left( {1 + \frac{2}{x}} \right)^x} = $
  • A
    $e$
  • B
    $\frac{1}{e}$
  • ✓
    ${e^2}$
  • D
    None of these

Answer: C.

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Q 5MCQ1 Mark
$\mathop {\lim }\limits_{x \to 0} \frac{{{e^{1/x}} - 1}}{{{e^{1/x}} + 1}} = $
  • A
    $0$
  • B
    $1$
  • C
    $-1$
  • ✓
    Does not exist

Answer: D.

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