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\[\lim_{x \to 0} \frac{e^{2x} - e^x}{\sin 2x}\]
Concept: undefined >> undefined
\[\lim_{x \to a} \frac{\log x - \log a}{x - a}\]
Concept: undefined >> undefined
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\[\lim_{x \to 0} \frac{\log \left( a + x \right) - \log \left( a - x \right)}{x}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{\log \left( 2 + x \right) + \log 0 . 5}{x}\]
Concept: undefined >> undefined
The standard deviation of the data:
| x: | 1 | a | a2 | .... | an |
| f: | nC0 | nC1 | nC2 | .... | nCn |
is
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{x\left( 2^x - 1 \right)}{1 - \cos x}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{\sqrt{1 + x} - 1}{\log \left( 1 + x \right)}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{\log \left| 1 + x^3 \right|}{\sin^3 x}\]
Concept: undefined >> undefined
`\lim_{x \to \pi/2} \frac{a^\cot x - a^\cos x}{\cot x - \cos x}`
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{e^x - 1}{\sqrt{1 - \cos x}}\]
Concept: undefined >> undefined
\[\lim_{x \to 5} \frac{e^x - e^5}{x - 5}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{e^{x + 2} - e^2}{x}\]
Concept: undefined >> undefined
`\lim_{x \to \pi/2} \frac{e^\cos x - 1}{\cos x}`
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{e^{3 + x} - \sin x - e^3}{x}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{e^x - x - 1}{2}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{e^{3x} - e^{2x}}{x}\]
Concept: undefined >> undefined
`\lim_{x \to 0} \frac{e^\tan x - 1}{\tan x}`
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{e^{bx} - e^{ax}}{x} \text{ where } 0 < a < b\]
Concept: undefined >> undefined
`\lim_{x \to 0} \frac{e^\tan x - 1}{x}`
Concept: undefined >> undefined
`\lim_{x \to 0} \frac{e^x - e^\sin x}{x - \sin x}`
Concept: undefined >> undefined
