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Fatma Keskin's user avatar
Fatma Keskin's user avatar
Fatma Keskin's user avatar
Fatma Keskin
  • Member for 4 years, 10 months
  • Last seen this week
1 vote

Limit of: $\lim_{x\to0}\frac{1-\sqrt[3]{\cos{x}}}{1-\cos{\sqrt[3]{x}}}$

1 vote

1025th term of the sequence $ 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8, ... $

1 vote

Evaluating $\lim_{x\to0} \frac{\cos x - \cos 3x}{\sin 3x^2 - \sin x^2}$

1 vote

Finding a general term for the sequence

1 vote

Interesting integral $\int_0^{2\pi}\tan(\cos(x))dx=0$

1 vote

There is a number divisible by all integers from 1 to 200, except for two consecutive numbers. What are the two?

1 vote

Prove that $\prod_{k=2}^{99}\frac{k^{3}-1}{k^{3}+1}$ is greater than $\frac{2}{3}$.

1 vote
Accepted

Find the x-coordinate of the stationary points of the curve and determine the nature of these stationary points.

1 vote

Prove: $\int_{0}^{1} \frac{e^x}{x^{2}+1}dx\le e -1 $

0 votes

Computing integral $\int_0^1 |x-a| \, {\rm d} x$

0 votes

Show the following function is differentiable

0 votes

$\ln{2n+1\over n+1}<{1\over n+1}+{1\over n+2}+\cdots +{1\over 2n}<\ln 2$

0 votes

How to find the $\lim _{x\to 0}\left(2-e^{\arcsin^{2}\left(\sqrt{x}\right)}\right)^{\frac{3}{x}}$

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Find general solution in radians of $\cos x + \cos 3x + \cos 5x = 0$

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$\int_0^{\pi} \frac{x \sin x}{2 + \cos x}dx$

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General solution of $\cos (2\arctan x) = \frac{{1 - x^2 }}{{1 + x^2 }}?$

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Computing $\lim_{x\to-\frac\pi2}\frac{e^{\tan x}}{\cos^2x}$

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The number of integers 'a' ($1\leq a\leq 200$) such that a^a is a perfect square are:$ A). 105$ $ B) 103$ $C)107$ $D)109?$

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Prove $f^\ {''}(c)=0$

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Why does $\lim\limits_{\theta\to\infty}n\sin\frac {\theta}n=\theta$

0 votes

Solving $\lim\limits_{x\to0} \frac{x - \sin(x)}{x^2}$ without L'Hospital's Rule.

0 votes

What is the intuition for why row reduction can show linear dependence

0 votes

Limit $\lim_\limits{x\to0}{\tan{x}-\sin{x}\over x^3}$

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Show something using the Mean Value Theorem

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Proving using mean value theorem

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How can evaluate $\lim_{x\to0}\frac{\sin(3x^2)}{\tan(x)\sin(x)}$

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Other ways to evaluate $\lim_{x \to 0} \frac 1x \left [ \sqrt[3]{\frac{1 - \sqrt{1 - x}}{\sqrt{1 + x} - 1}} - 1\right ]$?

0 votes

If both $x+10$ and $x-79$ are perfect squares, what is $x$?

0 votes

Differentiate $\sin^{-1}\left(\frac {\sin x + \cos x}{\sqrt{2}}\right)$ with respect to $x$