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PART 2 : LIMIT Statistics - PART 2 : LIMIT

Gujarat Board (GSEB) - STD 12 Commerce - Statistics (GSEB - English Medium). 90 questions in this chapter.

Question types

PART 2 : LIMIT question types

90 questions across 5 question groups — pick any mix to generate a Statistics paper with step-by-step answer keys.

90
Questions
5
Question groups
5
Question types
Sample Questions

PART 2 : LIMIT 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
Find the value of $\lim _{x \rightarrow-6}(10-3 x)^{\frac{-1}{2}}$.
  • A
    $5$
  • B
    $\frac{1}{25}$
  • C
    $-\frac{1}{5}$
  • ✓
    $\frac{1}{5}$

Answer: D.

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Q 2MCQ1 Mark
Find the value of $a$, if $\lim _{x \rightarrow 0} \frac{2}{3 x-5}=\frac{1}{a}$.
  • ✓
    $5$
  • B
    $1$
  • C
    $-1$
  • D
    $10$

Answer: A.

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Q 3MCQ1 Mark
$\lim _{x \rightarrow 0} \frac{x^2-5 x+6}{x+1}=6$ What is the value of $\lim _{x \rightarrow 0} f(x)$, if $f(x)=3\left(\frac{x^2-5 x+6}{x+1}\right) ?$
  • ✓
    $18$
  • B
    $2$
  • C
    $6$
  • D
    $0$

Answer: A.

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Q 5MCQ1 Mark
If $x=2+t$ and $x \rightarrow 0$ then $t$ tends to which value ?
  • A
    $0$
  • ✓
    $-2$
  • C
    $2$
  • D
    $4$

Answer: B.

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Q 91 Marks Each1 Mark
If $\lim _{x \rightarrow 2} f(x)=5$ and $\lim _{x\rightarrow 2} g(x)=3$, what is the value of $\lim _{x\rightarrow 2}[f(x) \times g(x)]$ ?
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