Mister Exam
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How to use it?
Limit of the function
:
Limit of (-6+x^2-x)/(6+x^2-5*x)
Limit of log(1+x^2)/(-e^(-x)+cos(3*x))
Limit of -2+|-2+x|/x
Limit of (-4-8*x+8*x^2)/(3+8*x)
Derivative of
:
x2
Graphing y =
:
x2
Integral of d{x}
:
x2
Identical expressions
x2
Similar expressions
1+cos(pi*x)/tan(pi*x)^2
(1-cos(x))/(2*x^2)
(-4-8*x+8*x^2)/(3+8*x)
(1+x^2-7*x)/(3+x+3*x^2)
log(1+x^2)/(-e^(-x)+cos(3*x))
Limit of the function
/
x2
Limit of the function x2
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 x2 x2->1+
$$\lim_{x_{2} \to 1^+} x_{2}$$
Limit(x2, x2, 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
One‐sided limits
[src]
lim x2 x2->1+
$$\lim_{x_{2} \to 1^+} x_{2}$$
1
$$1$$
= 1.0
lim x2 x2->1-
$$\lim_{x_{2} \to 1^-} x_{2}$$
1
$$1$$
= 1.0
= 1.0
Rapid solution
[src]
1
$$1$$
Expand and simplify
Other limits x2→0, -oo, +oo, 1
$$\lim_{x_{2} \to 1^-} x_{2} = 1$$
More at x2→1 from the left
$$\lim_{x_{2} \to 1^+} x_{2} = 1$$
$$\lim_{x_{2} \to \infty} x_{2} = \infty$$
More at x2→oo
$$\lim_{x_{2} \to 0^-} x_{2} = 0$$
More at x2→0 from the left
$$\lim_{x_{2} \to 0^+} x_{2} = 0$$
More at x2→0 from the right
$$\lim_{x_{2} \to -\infty} x_{2} = -\infty$$
More at x2→-oo
Numerical answer
[src]
1.0
1.0
The graph