Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of (-tan(2*x)+sin(2*x))/x^3
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Limit of 3/n^4
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Limit of (1-cos(x)^2)/(x^2*sin(x)^2)
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Identical expressions
- - three / two
- minus 3 divide by 2
- minus three divide by two
- -3 divide by 2
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Similar expressions
- 3/2
- sqrt(1-x)-3/(2+x^(1/3))
- x^(-3/(2*x))
Limit of the function -3/2
The solution
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
$$\lim_{x \to 3^-} - \frac{3}{2} = - \frac{3}{2}$$
More at x→3 from the left
$$\lim_{x \to 3^+} - \frac{3}{2} = - \frac{3}{2}$$
$$\lim_{x \to \infty} - \frac{3}{2} = - \frac{3}{2}$$
More at x→oo
$$\lim_{x \to 0^-} - \frac{3}{2} = - \frac{3}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} - \frac{3}{2} = - \frac{3}{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} - \frac{3}{2} = - \frac{3}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} - \frac{3}{2} = - \frac{3}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} - \frac{3}{2} = - \frac{3}{2}$$
More at x→-oo
More at x→3 from the left
$$\lim_{x \to 3^+} - \frac{3}{2} = - \frac{3}{2}$$
$$\lim_{x \to \infty} - \frac{3}{2} = - \frac{3}{2}$$
More at x→oo
$$\lim_{x \to 0^-} - \frac{3}{2} = - \frac{3}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} - \frac{3}{2} = - \frac{3}{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} - \frac{3}{2} = - \frac{3}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} - \frac{3}{2} = - \frac{3}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} - \frac{3}{2} = - \frac{3}{2}$$
More at x→-oo
One‐sided limits
[src]
lim (-3/2) x->3+
$$\lim_{x \to 3^+} - \frac{3}{2}$$
-3/2
$$- \frac{3}{2}$$
= -1.5
lim (-3/2) x->3-
$$\lim_{x \to 3^-} - \frac{3}{2}$$
-3/2
$$- \frac{3}{2}$$
= -1.5
= -1.5
The graph