Mister Exam
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- Limit of the function:
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Limit of (15-28*x^5-19*x+16*x^2+19*x^3)/(15-30*x^2-7*x^5+11*x^4+23*x)
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Limit of (6-30*x^5-24*x^6-15*x-8*x^2+15*x^4)/(22-7*x^2+5*x^6+10*x^4+26*x^3+26*x^5+27*x)
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Limit of 2*(1-x)*log(x)
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Limit of e^x*(1-x)
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Identical expressions
- two *(one -x)*log(x)
- 2 multiply by (1 minus x) multiply by logarithm of (x)
- two multiply by (one minus x) multiply by logarithm of (x)
- 2(1-x)log(x)
- 21-xlogx
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Similar expressions
- 2*(1+x)*log(x)
Limit of the function 2*(1-x)*log(x)
The solution
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[src]
lim (2*(1 - x)*log(x)) x->1+
$$\lim_{x \to 1^+}\left(2 \left(1 - x\right) \log{\left(x \right)}\right)$$
Limit((2*(1 - x))*log(x), x, 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
One‐sided limits
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lim (2*(1 - x)*log(x)) x->1+
$$\lim_{x \to 1^+}\left(2 \left(1 - x\right) \log{\left(x \right)}\right)$$
0
$$0$$
= 2.2377871124045e-29
lim (2*(1 - x)*log(x)) x->1-
$$\lim_{x \to 1^-}\left(2 \left(1 - x\right) \log{\left(x \right)}\right)$$
0
$$0$$
= 5.17935226703274e-32
= 5.17935226703274e-32
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(2 \left(1 - x\right) \log{\left(x \right)}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 \left(1 - x\right) \log{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(2 \left(1 - x\right) \log{\left(x \right)}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 \left(1 - x\right) \log{\left(x \right)}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 \left(1 - x\right) \log{\left(x \right)}\right) = -\infty$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(2 \left(1 - x\right) \log{\left(x \right)}\right) = \infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 \left(1 - x\right) \log{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(2 \left(1 - x\right) \log{\left(x \right)}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 \left(1 - x\right) \log{\left(x \right)}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 \left(1 - x\right) \log{\left(x \right)}\right) = -\infty$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(2 \left(1 - x\right) \log{\left(x \right)}\right) = \infty$$
More at x→-oo
The graph