Mister Exam
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Limit of the function
:
Limit of (-4+x^2)/(-8+x^3)
Limit of 2*x
Limit of exp(x)
Limit of tan(6*x)/(2*x)
Integral of d{x}
:
2*x
Derivative of
:
2*x
Equation
:
2*x
Identical expressions
two *x
2 multiply by x
two multiply by x
2x
Similar expressions
log(1+2^x)*log(1+3/x)
Limit of the function
/
2*x
Limit of the function 2*x
at
→
Calculate the limit!
v
For end points:
---------
From the left (x0-)
From the right (x0+)
The graph:
from
to
Piecewise:
{
enter the piecewise function here
The solution
You have entered
[src]
lim (2*x) x->1+
$$\lim_{x \to 1^+}\left(2 x\right)$$
Limit(2*x, x, 1)
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
Plot the graph
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(2 x\right) = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 x\right) = 2$$
$$\lim_{x \to \infty}\left(2 x\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(2 x\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
lim (2*x) x->1+
$$\lim_{x \to 1^+}\left(2 x\right)$$
2
$$2$$
= 2.0
lim (2*x) x->1-
$$\lim_{x \to 1^-}\left(2 x\right)$$
2
$$2$$
= 2.0
= 2.0
Rapid solution
[src]
2
$$2$$
Expand and simplify
Numerical answer
[src]
2.0
2.0
The graph