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2h
comment Limit of $\frac{f\left(x+g\left(x\right)\right)-f\left(g\left(x\right)\right)}{x}$ as $x\to 0$
Oh wow... looks like I'm already too tried.. Thank you very much
2h
revised Limit of $\frac{f\left(x+g\left(x\right)\right)-f\left(g\left(x\right)\right)}{x}$ as $x\to 0$
edited title
2h
comment Limit of $\frac{f\left(x+g\left(x\right)\right)-f\left(g\left(x\right)\right)}{x}$ as $x\to 0$
oopse, fixed...
2h
revised Limit of $\frac{f\left(x+g\left(x\right)\right)-f\left(g\left(x\right)\right)}{x}$ as $x\to 0$
added 6 characters in body
2h
asked Limit of $\frac{f\left(x+g\left(x\right)\right)-f\left(g\left(x\right)\right)}{x}$ as $x\to 0$
3h
comment Using the same limit for a second derivative
hmm I understand. Is there a similar proof without L'Hopital? As we haven't learned it yet I'm not sure I can use it.. Thanks anyway :)
4h
asked Using the same limit for a second derivative
May
20
answered I'm trying to reverse engineer a formula to find answers without trial and error.
May
18
accepted Finding the limit at $a$ of $\left(\frac{f\left(x\right)} {f\left(a\right)}\right)^{\frac{1}{g\left(x\right)}}$
May
18
comment Finding the limit at $a$ of $\left(\frac{f\left(x\right)} {f\left(a\right)}\right)^{\frac{1}{g\left(x\right)}}$
$\ln x $ is differentiable at $x\neq 0$ and $f(x) $ differentiable at $x$ so by the chain rule it's differentiable there? And this actually makes a lot of sense, though I'm not sure how I could think of something like that myself
May
18
asked Finding the limit at $a$ of $\left(\frac{f\left(x\right)} {f\left(a\right)}\right)^{\frac{1}{g\left(x\right)}}$
May
17
accepted Linear transformations with equal matrices on different bases
May
17
asked Linear transformations with equal matrices on different bases
May
12
comment Proving the Takagi function is lipschitz for $c\cdot d<1$
Took me a day buy I got it. Thanks
May
12
accepted Proving the Takagi function is lipschitz for $c\cdot d<1$
May
11
asked Proving the Takagi function is lipschitz for $c\cdot d<1$
May
10
accepted Proving the limit of the power of two functions is the power of the limits?
May
10
asked Proving the limit of the power of two functions is the power of the limits?
May
5
comment One-one and continuous $\implies$ strictly monotonic
I think you mean contradicts injectivity, Edit: well you were faster than me :P
May
5
comment Proving that a union of a countable and an uncountable set is equivalent to the uncountable set (proof check)
@tetori This is the next topic so I guess I'll realize it soon :P