How many Limits questions are asked in AIEEE?

ExamTest.live has 15 Limits questions from AIEEE, covering years 2004–2026.

What is the difficulty level of Limits questions in AIEEE?

AIEEE Limits questions include 0 easy, 14 medium, and 1 hard questions on ExamTest.live.

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Q1mediummcqMathematicsAIEEE 20072026

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The function f : R ∖ {0} \to R given by f (x) = \frac{1}{x} - \frac{2}{e ^{2 x} - 1} can be made continuous at x = 0 by defining f (0) as:

Q2mediummcqMathematicsAIEEE2026

The limit lim_{n \to \infty} \frac{1}{n} [sec^{2} \frac{1}{n ^{2}} + sec^{2} \frac{4}{n ^{2}} + \dots + sec^{2} 1] equals:

Q3mediummcqMathematicsAIEEE2026

Let α and β be the distinct roots of a x^{2} + b x + c = 0, then lim_{x \to α} \frac{1 - c o s ( a x ^{2} + b x + c )}{( x - α ) ^{2}} is equal to:

Q4mediummcqMathematicsAIEEE2026

Suppose f (x) is differentiable at x = 1 and lim_{h \to 0} \frac{f ( 1 + h )}{h} = 5, then f^{'} (1) equals:

Q5mediummcqMathematicsAIEEE2026

If x is so small that x^{3} and higher powers of x may be neglected, then \frac{( 1 + x ) ^{3/2} - ( 1 + \frac{1}{2} x ) ^{3}}{( 1 - x ) ^{1/2}} may be approximated as:

Q6mediummcqMathematicsAIEEE-CBSE-ENG-032026

lim_{x \to π} \frac{t a n [ 1 - s i n ( x /2 )]}{[ π - 2 x ] ^{2}} is:

Q7mediummcqMathematicsAIEEE-CBSE-ENG-032026

If lim_{x \to 0} \frac{l o g ( 3 + x ) - l o g ( 3 - x )}{x} = k, the value of k is:

Q8mediummcqMathematicsAIEEE-CBSE-ENG-032026

The value of lim_{x \to 0} \frac{\int _{0}^{x^{2}} s e c ^{2} t d t}{x s i n x} is:

Q9mediummcqMathematicsAIEEE-CBSE-ENG-032026

lim_{n \to \infty} [\frac{1 ^{3} + 2 ^{3} + 3 ^{3} + \dots + n ^{3}}{n ^{4}}] - lim_{n \to \infty} [\frac{1 ^{4} + 2 ^{4} + 3 ^{4} + \dots + n ^{4}}{n ^{5}}] is:

Q10mediummcqMathematicsAIEEE2026

Let f (x) = {(x - 1) sin (\frac{1}{x - 1}) 0 if x \neq = 1 if x = 1 . Then which one of the following is true?

Q11mediummcqMathematicsAIEEE2026

Let f : R \to R be a continuous function defined by f (x) = \frac{1}{e ^{x} + 2 e ^{- x}} .Statement-1: f (c) = \frac{1}{3}, for some c \in R .Statement-2: 0 < f (x) \leq \frac{1}{2 2}, for all x \in R .

Q12mediummcqMathematicsAIEEE2026

Let f : R \to R be a positive increasing function with lim_{x \to \infty} \frac{f ( 3 x )}{f ( x )} = 1 . Then lim_{x \to \infty} \frac{f ( 2 x )}{f ( x )} =

Q13mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026

The value of lim_{x \to 2} \frac{1 - c o s { 2 ( x - 2 )}}{x - 2} :

Q14hardmcqMathematicsAIEEE 20042004

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If lim_{x \to \infty} (1 + \frac{a}{x} + \frac{b}{x ^{2}})^{2 x} = e^{2}, then the values of a and b, are

Q15mediummcqMathematicsAIEEE 20042004

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lim_{n \to \infty} \sum_{r = 1}^{n} \frac{1}{n} e^{\frac{r}{n}} is

How many Limits questions come in AIEEE?▼

Our database has 15 Limits questions from AIEEE covering 2004 to 2026.

What difficulty are AIEEE Limits questions?▼

The 15 AIEEE Limits questions include 0 easy, 14 medium and 1 hard level questions.

Where can I find more Limits questions for other exams?▼

Visit /tag/limits to see all Limits questions across all exams including AIEEE-CBSE-ENG-03, AIEEE 2004, Mathematics Mock Test - 6.