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`\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
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\[\lim_{x \to 5} \frac{e^x - e^5}{x - 5}\]
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
\[\lim_{x \to 0} \frac{3^{2 + x} - 9}{x}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{a^x - a^{- x}}{x}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{x\left( e^x - 1 \right)}{1 - \cos x}\]
Concept: undefined >> undefined
\[\lim_{x \to \pi/2} \frac{2^{- \cos x} - 1}{x\left( x - \frac{\pi}{2} \right)}\]
Concept: undefined >> undefined
If the standard deviation of a variable X is σ, then the standard deviation of variable \[\frac{a X + b}{c}\] is
Concept: undefined >> undefined
If the S.D. of a set of observations is 8 and if each observation is divided by −2, the S.D. of the new set of observations will be
Concept: undefined >> undefined
\[\lim_{x \to \infty} \left\{ \frac{x^2 + 2x + 3}{2 x^2 + x + 5} \right\}^\frac{3x - 2}{3x + 2}\]
Concept: undefined >> undefined
\[\lim_{x \to 1} \left\{ \frac{x^3 + 2 x^2 + x + 1}{x^2 + 2x + 3} \right\}^\frac{1 - \cos \left( x - 1 \right)}{\left( x - 1 \right)^2}\]
Concept: undefined >> undefined
