Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-6+x^2-x)/(6+x^2-5*x)
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Limit of log(1+x^2)/(-e^(-x)+cos(3*x))
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Limit of (-1+e^(2*x))/(3*x)
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Limit of -2+|-2+x|/x
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Identical expressions
- pi/ four
- Pi divide by 4
- Pi divide by four
- pi divide by 4
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Similar expressions
- tan(pi/(4*x))
- tan(pi/(4*n))
Limit of the function pi/4
The solution
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[src]
/pi\ lim |--| x->0+\4 /
$$\lim_{x \to 0^+}\left(\frac{\pi}{4}\right)$$
Limit(pi/4, x, 0)
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{\pi}{4}\right) = \frac{\pi}{4}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\pi}{4}\right) = \frac{\pi}{4}$$
$$\lim_{x \to \infty}\left(\frac{\pi}{4}\right) = \frac{\pi}{4}$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{\pi}{4}\right) = \frac{\pi}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\pi}{4}\right) = \frac{\pi}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\pi}{4}\right) = \frac{\pi}{4}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\pi}{4}\right) = \frac{\pi}{4}$$
$$\lim_{x \to \infty}\left(\frac{\pi}{4}\right) = \frac{\pi}{4}$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{\pi}{4}\right) = \frac{\pi}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\pi}{4}\right) = \frac{\pi}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\pi}{4}\right) = \frac{\pi}{4}$$
More at x→-oo
One‐sided limits
[src]
/pi\ lim |--| x->0+\4 /
$$\lim_{x \to 0^+}\left(\frac{\pi}{4}\right)$$
pi -- 4
$$\frac{\pi}{4}$$
= 0.785398163397448
/pi\ lim |--| x->0-\4 /
$$\lim_{x \to 0^-}\left(\frac{\pi}{4}\right)$$
pi -- 4
$$\frac{\pi}{4}$$
= 0.785398163397448
= 0.785398163397448
The graph