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Calculate: $\lim\limits_{x\to0^-} \frac1{\ln(1-x)}+\frac1x$ without LHR/Expansions

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#limits #logarithms #exponential-function
52
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Equality between two equations

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#exponential-function #dirac-delta
668
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Proof of this formula for $\sqrt{e\pi/2}$ and similar formulas.

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#sequences-and-series #exponential-function #pi #continued-fractions
179
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Find the smallest number with total number of set bits greater than X

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#linear-algebra #exponential-function
154
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Taylor expansion for the exponential series

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#derivatives #taylor-expansion #exponential-function
100
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Find $x$ such that $5^x - \sqrt{2x} -\log_2{x} = 22$

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#real-analysis #exponential-function
90
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General formula of $\lim_{n \to \infty} (1+a_n)^{b_n}$ where $b_n \to \infty$

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#sequences-and-series #limits #exponential-function #exponentiation
65
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Find the limit of the sequence $\frac{2^{n-1} + 3^n} {4^n - 1}$

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#sequences-and-series #limits #exponential-function
750
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Evaluate $\lim_{x\to \infty} (\frac {x+1}{x-1})^x$

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#limits #exponential-function
1.5k
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Gradient Descent for Exponential Functions

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#exponential-function #nonlinear-optimization #regression #gradient-descent
102
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Function has nth derivatives bounded by exponential

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#real-analysis #derivatives #exponential-function
263
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Brezis 4.15, $f_n(x)=ne^{−nx}$

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#convergence-divergence #exponential-function #lp-spaces #almost-everywhere
45
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Naive question of taking power of an exponential

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#exponential-function
49
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Expressing $1-\exp{(\lambda_1p+\lambda_3q)}$ as $x+y$, where $x$ is in terms of $\lambda_1$ and $y$ is in terms of $\lambda_3$

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#exponential-function
51
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Expressing $c = 1 - \exp\left(\lambda_1 p + \lambda_3 q\right)$ as a product of two terms

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#exponential-function #exponential-sum

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