Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of 2^(-n)*2^(1+n)
- Limit of tan(k*x)/x
-
Limit of (-x+tan(x))/(x+2*sin(x))
-
Limit of asin(5*x)/tan(3*x)
- Graphing y =:
- 9/x
- Derivative of:
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9/x
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Identical expressions
- nine /x
- 9 divide by x
- nine divide by x
Limit of the function 9/x
The solution
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[src]
/9\ lim |-| x->0+\x/
$$\lim_{x \to 0^+}\left(\frac{9}{x}\right)$$
Limit(9/x, 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
$$\lim_{x \to 0^-}\left(\frac{9}{x}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{9}{x}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{9}{x}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{9}{x}\right) = 9$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{9}{x}\right) = 9$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{9}{x}\right) = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{9}{x}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{9}{x}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{9}{x}\right) = 9$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{9}{x}\right) = 9$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{9}{x}\right) = 0$$
More at x→-oo
One‐sided limits
[src]
/9\ lim |-| x->0+\x/
$$\lim_{x \to 0^+}\left(\frac{9}{x}\right)$$
oo
$$\infty$$
= 1359.0
/9\ lim |-| x->0-\x/
$$\lim_{x \to 0^-}\left(\frac{9}{x}\right)$$
-oo
$$-\infty$$
= -1359.0
= -1359.0
The graph