Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((1+x)/(1+2*x))^x
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Limit of (n/(1+n))^(5+3*n)
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Limit of (9^x-8^x)/asin(3*x)
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Limit of (-4+2*x+8*x^2)/(6+4*x)
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Identical expressions
- (one -tan(x))^(x/ seven)
- (1 minus tangent of (x)) to the power of (x divide by 7)
- (one minus tangent of (x)) to the power of (x divide by seven)
- (1-tan(x))(x/7)
- 1-tanxx/7
- 1-tanx^x/7
- (1-tan(x))^(x divide by 7)
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Similar expressions
- (1+tan(x))^(x/7)
Limit of the function (1-tan(x))^(x/7)
The solution
You have entered
[src]
x
-
7
lim (1 - tan(x))
x->0+
$$\lim_{x \to 0^+} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}}$$
Limit((1 - tan(x))^(x/7), 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
$$\lim_{x \to 0^-} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}} = 1$$
$$\lim_{x \to \infty} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}}$$
More at x→oo
$$\lim_{x \to 1^-} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}} = \sqrt[7]{-1} \sqrt[7]{-1 + \tan{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}} = \sqrt[7]{-1} \sqrt[7]{-1 + \tan{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}} = 1$$
$$\lim_{x \to \infty} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}}$$
More at x→oo
$$\lim_{x \to 1^-} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}} = \sqrt[7]{-1} \sqrt[7]{-1 + \tan{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}} = \sqrt[7]{-1} \sqrt[7]{-1 + \tan{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}}$$
More at x→-oo
One‐sided limits
[src]
x
-
7
lim (1 - tan(x))
x->0+
$$\lim_{x \to 0^+} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}}$$
1
$$1$$
= 1.0
x
-
7
lim (1 - tan(x))
x->0-
$$\lim_{x \to 0^-} \left(1 - \tan{\left(x \right)}\right)^{\frac{x}{7}}$$
1
$$1$$
= 1.0
= 1.0
The graph