Recent questions and answers in Limits

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Evaluate the limit

answered Apr 8 in Limits by khadarabad (300 points)

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Assymptote of the curve x3+y3-3axy

asked Mar 19 in Limits by shrabani1601 (15 points)

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JEE MAINS 2024 31 JAN SHIFT 2

answered Feb 27 in Limits by SumedhPatil (38.1k points)

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Evaluate lim x ->(cosx)1/x^2 by L Hospital's rule.

answered Feb 26 in Limits by AnkushLather (44.0k points)

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lim x -> 1 (ln(x))/(x - 1)

answered Jan 21 in Limits by PeterPJF (15.4k points)

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Lim x→√2 x²-2/x²+√2x-4

answered Dec 23, 2023 in Limits by shruti3980 (25 points)

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limx→1[x−1], Where [.] is the greatest integer function, is equal to

answered Dec 18, 2023 in Limits by AsthaPatel (47.8k points)

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limits maths

asked Dec 15, 2023 in Limits by katy123 (40 points)

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\( \int_{0}^{\pi / 2} \sqrt{1+\cos x} d x \)

answered Dec 7, 2023 in Limits by AshaUsapkar (44.8k points)

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9. Which of the following statement(s) is/are true? (1) \( \lim _{x \rightarrow a} \frac{a^{x}-x^{a}}{x^{x}-a^{a}}=-1 \) then \( a \) is 1 (2) \( \lim _{n \rightarrow \infty} \log _{(n-1)} n \cdot \log _{n}(n+1) \cdot \log _{(n+1)}(n+2) \ldots . . \log _{\left(n^{5}-1\right)} n^{5}=5 \) (3) \( \lim _{x \rightarrow 0} \log _{\frac{x^{2}+1}{x+1}}\left(\sqrt{x^{2}+1}-x\right)=1 \) (4) \( \lim _{\substack{x \rightarrow 0 \\ y \rightarrow 0}} \frac{x^{2}}{y}=0 \), when \( (x, y) \rightarrow(0,0) \) along the curve \( y^{2}=x^{3} \)

answered Dec 7, 2023 in Limits by Eshwarojha (44.9k points)

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13. \( k=\lim _{x \rightarrow \infty}\left(\frac{\sum_{k=1}^{1000}(x+k)^{m}}{x^{m}+10^{1000}}\right) \) is \( (m>101) \)

answered Nov 29, 2023 in Limits by Eshwarojha (44.9k points)

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Evaluate the limit

answered Nov 13, 2023 in Limits by polavarapu2965 (35 points)

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Evaluate the limit Evaluate ltx→0 xcosx-sinx/x^2sinx

answered Nov 11, 2023 in Limits by AshaUsapkar (44.8k points)

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Evaluate the limit

asked Nov 11, 2023 in Limits by hemant0230 (525 points)

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precalculus - rules of limits

answered Nov 3, 2023 in Limits by AshaUsapkar (44.8k points)

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(x^n-3^n)/x-3=108

answered Oct 30, 2023 in Limits by PeterPJF (15.4k points)

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Please answer this question with proper steps without using L'Hospital Rule

answered Sep 26, 2023 in Limits by Jassleen (55.0k points)

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15 Negation of (p⇒q)⇒(q⇒p) is[Apr. 8, 2023(I)] (1) (∼p)∨q (2) (∼q)∧p (3) q∧(∼p) (4) p∨(∼q Official Ans. by NTA (3) Allen Ans. (3)

answered Sep 25, 2023 in Limits by premPanari (42.4k points)

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10. Let f(x)=sinx+cosx-root2/sinx-cosx, x elements [0, pi]-{pi/4}. Then f(7pi/12)F''(7pi/12) is equal to[Apr. 8, 2023(I)]

answered Sep 25, 2023 in Limits by AlishaRaj (58.2k points)

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Using \( \varepsilon-\delta \) definition, show that \( \lim _{x \rightarrow 2} \frac{1}{x}(x \neq 0)=\frac{1}{2} \)

answered Sep 15, 2023 in Limits by PeterPJF (15.4k points)

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