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Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
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Trigonometry
Simplify
Evaluate
Graphs
Solve Equations
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Evaluate
\infty
$∞$
Quiz
Limits
5 problems similar to:
\lim_{ x \rightarrow 0 } \frac{1}{x^2}
$x→0lim x_{2}1 $
Similar Problems from Web Search
Showing that the \lim_{x\to 0}\frac{1}{x^2} does not exist
Showing that the
$lim_{x→0}x_{2}1 $
does not exist
https://math.stackexchange.com/q/1579837
Suppose that the limit exists and equals c\in\mathbb{R}. Then for e.g. \epsilon>1 some \delta>0 must exist with \left|x\right|<\delta\implies\left|\frac{1}{x^{2}}-c\right|<1. However, if we ...
Suppose that the limit exists and equals
$c∈R$
. Then for e.g.
$ϵ>1$
some
$δ>0$
must exist with
$∣x∣<δ⟹∣∣∣ x_{2}1 −c∣∣∣ <1$
. However, if we ...
Applying L'Hopital's rule to \lim\limits_{x \to 0}\frac{2}{x^2}
Applying L'Hopital's rule to
$x→0lim x_{2}2 $
https://math.stackexchange.com/questions/502024/applying-lhopitals-rule-to-lim-limits-x-to-0-frac2x2
In order to use the 0/0 case of L'Hospital's rule, we require that both the numerator and the denominator tend to 0 at the appropriate point. The numerator does not tend to 0.
In order to use the
$0/0$
case of L'Hospital's rule, we require that both the numerator and the denominator tend to
$0$
at the appropriate point. The numerator does not tend to
$0$
.
Is this piece-wise function continuous, and why?
Is this piece-wise function continuous, and why?
https://math.stackexchange.com/questions/2411697/is-this-piece-wise-function-continuous-and-why
If we look at the behaviour as x approaches zero from the right, the function looks like this: \begin{matrix}x & f(x) = \frac{1}{x^2} \\ 1 & 1 \\ 0.1 & 100 \\ 0.01 & 10000 \\ 0.001 & 1000000 \\ 0.0001 & 100000000\end{matrix} ...
If we look at the behaviour as
$x$
approaches zero from the right, the function looks like this:
$x10.10.010.0010.0001 f(x)=x_{2}1 1100100001000000100000000 $
...
Manipulating \lim\limits_{x \to 0}{\frac{\sqrt{x+\sqrt{x}}}{x^n}}
Manipulating
$x→0lim x_{n}x+x $
https://math.stackexchange.com/questions/2177214/manipulating-lim-limits-x-to-0-frac-sqrtx-sqrtxxn
If \lim\limits_{x \to 0}{\frac{\sqrt{x+\sqrt{x}}}{x^n}} = c for some c\neq 0, then \lim\limits_{x \to 0}{\frac{x+\sqrt{x}}{x^{2n}}} =c^2. Now, let \sqrt{x}=t. We then wish to find n such ...
If
$x→0lim x_{n}x+x =c$
for some
$c=0$
, then
$x→0lim x_{2n}x+x =c_{2}$
. Now, let
$x =t$
. We then wish to find
$n$
such ...
Limit of \frac{f'(x)}{g'(x)} & g'(x) \neq 0 in Hypotheses of L'Hospital's rule.
Limit of
$g_{′}(x)f_{′}(x) $
&
$g_{′}(x)=0$
in Hypotheses of L'Hospital's rule.
https://math.stackexchange.com/q/110408
When we write things like \lim_{x\to a}h(x) = \lim_{x\to a}H(x) we usually mean "if either limit exists, then they both do and they are equal; if either limit does not exist, then neither limit ...
When we write things like
$lim_{x→a}h(x)=lim_{x→a}H(x)$
we usually mean "if either limit exists, then they both do and they are equal; if either limit does not exist, then neither limit ...
How do we calculate the Right and Left Hand Limit of 1/x?
How do we calculate the Right and Left Hand Limit of 1/x?
https://math.stackexchange.com/questions/762599/how-do-we-calculate-the-right-and-left-hand-limit-of-1-x
\mathbf{Definition} : \boxed{ \lim_{x \to a^+ } f(x) = \infty } means that for all \alpha > 0, there exists \delta > 0 such that if 0<x -a < \delta, then f(x) > \alpha \mathbf{Example} ...
$Definition$
:
$x→a_{+}lim f(x)=∞ $
means that for all
$α>0$
, there exists
$δ>0$
such that if
$0<x−a<δ$
, then
$f(x)>α$
$Example$
...
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Similar Problems
\lim_{ x \rightarrow 0 } 5
$x→0lim 5$
\lim_{ x \rightarrow 0 } 5x
$x→0lim 5x$
\lim_{ x \rightarrow 0 } \frac{2}{x}
$x→0lim x2 $
\lim_{ x \rightarrow 0 } \frac{1}{x^2}
$x→0lim x_{2}1 $
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