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Limits MATHS - Limits

Rajasthan Board (RBSE) - STD 11 Science - MATHS (Rajasthan - English Medium). 314 questions in this chapter.

Question types

Limits question types

314 questions across 4 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

314
Questions
4
Question groups
5
Question types
Sample Questions

Limits questions

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

Q 123 Marks Question3 Marks
Let f(x) be a function defined by $\text{f(x)}=\begin{cases}\frac{3\text{x}}{|\text{x}|+2\text{x}}, & \text{x} \neq0\\\ \ \ \ 0, & \text{x} = 0\end{cases}.$
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Q 143 Marks Question3 Marks
Evaluate the following limit:
Show that $\lim\limits_{\text{x}\rightarrow\infty}\big(\sqrt{\text{x}^2+\text{x}+1}-\text{x}\big)\ne\lim\limits_{\text{x}\rightarrow\infty}\big(\sqrt{\text{x}^2+1}-\text{x}\big)$
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Q 153 Marks Question3 Marks
Evaluate the following limit:
$\lim\limits_{\text{n}\rightarrow\infty}\Big(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+\ \cdots+\frac{1}{3^\text{n}}\Big)$
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Q 165 Marks Questions5 Marks
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow1}\bigg\{\frac{\text{x}-2}{\text{x}^2-\text{x}}-\frac{1}{\text{x}^2-3\text{x}^2+2\text{x}}\bigg\}$
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Q 205 Marks Questions5 Marks
Evaluate the following limit:
$\lim\limits_{\text{n}\rightarrow\infty}\text{n}\sin\Big(\frac{\pi}{4\text{n}}\Big)\cos\Big(\frac{\pi}{4\text{n}}\Big)$
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