Mister Exam
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- Limit of the function:
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Limit of (2+2*n)/(2*n)
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Limit of x^5+(1+x)^3-(1+3*x)/x
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Limit of (1-sqrt(x))/(1-x)
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Limit of (1+(1/2)^x)^x
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Identical expressions
- - one + two *x
- minus 1 plus 2 multiply by x
- minus one plus two multiply by x
- -1+2x
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Similar expressions
- -1-2*x
- log(cos(x))/(-1+2^x)^2
- 1+2*x
Limit of the function -1+2*x
The solution
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[src]
lim (-1 + 2*x) x->1+
$$\lim_{x \to 1^+}\left(2 x - 1\right)$$
Limit(-1 + 2*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
[src]
lim (-1 + 2*x) x->1+
$$\lim_{x \to 1^+}\left(2 x - 1\right)$$
1
$$1$$
= 1.0
lim (-1 + 2*x) x->1-
$$\lim_{x \to 1^-}\left(2 x - 1\right)$$
1
$$1$$
= 1.0
= 1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(2 x - 1\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 x - 1\right) = 1$$
$$\lim_{x \to \infty}\left(2 x - 1\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 x - 1\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 x - 1\right) = -1$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(2 x - 1\right) = -\infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 x - 1\right) = 1$$
$$\lim_{x \to \infty}\left(2 x - 1\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 x - 1\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 x - 1\right) = -1$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(2 x - 1\right) = -\infty$$
More at x→-oo
The graph