Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+2*n)/|-1+2*n|
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Limit of (3+x^2-4*x)/(-9+x^2)
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Limit of (x^2-3*x)/(-8+x^2)
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Limit of (1+5*x)*(-1+5*x)
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Identical expressions
- (one + five *x)*(- one + five *x)
- (1 plus 5 multiply by x) multiply by ( minus 1 plus 5 multiply by x)
- (one plus five multiply by x) multiply by ( minus one plus five multiply by x)
- (1+5x)(-1+5x)
- 1+5x-1+5x
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Similar expressions
- (1+5*x)*(-1-5*x)
- (1-5*x)*(-1+5*x)
- (1+5*x)*(1+5*x)
Limit of the function (1+5*x)*(-1+5*x)
The solution
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lim ((1 + 5*x)*(-1 + 5*x)) x->1+
$$\lim_{x \to 1^+}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right)$$
Limit((1 + 5*x)*(-1 + 5*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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = 24$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = 24$$
$$\lim_{x \to \infty}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = -1$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = \infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = 24$$
$$\lim_{x \to \infty}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = -1$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = \infty$$
More at x→-oo
One‐sided limits
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lim ((1 + 5*x)*(-1 + 5*x)) x->1+
$$\lim_{x \to 1^+}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right)$$
24
$$24$$
= 24.0
lim ((1 + 5*x)*(-1 + 5*x)) x->1-
$$\lim_{x \to 1^-}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right)$$
24
$$24$$
= 24.0
= 24.0
The graph