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^2)/(-2+x)
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Limit of (sqrt(-1+2*x)-(-2+3*x)^(1/5))/(-1+x)
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Limit of (4+2*n^3)/(5+n^2)
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Limit of (2+4*x)/(-3+2*x)
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Identical expressions
- one /(- one + two ^(- three +x))
- 1 divide by ( minus 1 plus 2 to the power of ( minus 3 plus x))
- one divide by ( minus one plus two to the power of ( minus three plus x))
- 1/(-1+2(-3+x))
- 1/-1+2-3+x
- 1/-1+2^-3+x
- 1 divide by (-1+2^(-3+x))
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Similar expressions
- 1/(1+2^(-3+x))
- 1/(-1-2^(-3+x))
- 1/(-1+2^(-3-x))
- 1/(-1+2^(3+x))
Limit of the function 1/(-1+2^(-3+x))
The solution
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[src]
1
lim ------------
x->3+ -3 + x
-1 + 2
$$\lim_{x \to 3^+} \frac{1}{2^{x - 3} - 1}$$
Limit(1/(-1 + 2^(-3 + x)), x, 3)
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
One‐sided limits
[src]
1
lim ------------
x->3+ -3 + x
-1 + 2
$$\lim_{x \to 3^+} \frac{1}{2^{x - 3} - 1}$$
oo
$$\infty$$
= 217.347333705656
1
lim ------------
x->3- -3 + x
-1 + 2
$$\lim_{x \to 3^-} \frac{1}{2^{x - 3} - 1}$$
-oo
$$-\infty$$
= -218.347333705656
= -218.347333705656
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 3^-} \frac{1}{2^{x - 3} - 1} = \infty$$
More at x→3 from the left
$$\lim_{x \to 3^+} \frac{1}{2^{x - 3} - 1} = \infty$$
$$\lim_{x \to \infty} \frac{1}{2^{x - 3} - 1} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{2^{x - 3} - 1} = - \frac{8}{7}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{2^{x - 3} - 1} = - \frac{8}{7}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{2^{x - 3} - 1} = - \frac{4}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{2^{x - 3} - 1} = - \frac{4}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{2^{x - 3} - 1} = -1$$
More at x→-oo
More at x→3 from the left
$$\lim_{x \to 3^+} \frac{1}{2^{x - 3} - 1} = \infty$$
$$\lim_{x \to \infty} \frac{1}{2^{x - 3} - 1} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{2^{x - 3} - 1} = - \frac{8}{7}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{2^{x - 3} - 1} = - \frac{8}{7}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{2^{x - 3} - 1} = - \frac{4}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{2^{x - 3} - 1} = - \frac{4}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{2^{x - 3} - 1} = -1$$
More at x→-oo
The graph