Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-3+sqrt(5+x))/(-4+x)
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Limit of sin(5*x)
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Limit of sec(2*x)
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Limit of cosh(n)/cosh(1+n)
- Derivative of:
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e^tan(x)
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Identical expressions
- e^tan(x)
- e to the power of tangent of (x)
- etan(x)
- etanx
- e^tanx
Limit of the function e^tan(x)
The solution
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tan(x) lim E x->0+
$$\lim_{x \to 0^+} e^{\tan{\left(x \right)}}$$
Limit(E^tan(x), 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
One‐sided limits
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tan(x) lim E x->0+
$$\lim_{x \to 0^+} e^{\tan{\left(x \right)}}$$
1
$$1$$
= 1.0
tan(x) lim E x->0-
$$\lim_{x \to 0^-} e^{\tan{\left(x \right)}}$$
1
$$1$$
= 1.0
= 1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} e^{\tan{\left(x \right)}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{\tan{\left(x \right)}} = 1$$
$$\lim_{x \to \infty} e^{\tan{\left(x \right)}}$$
More at x→oo
$$\lim_{x \to 1^-} e^{\tan{\left(x \right)}} = e^{\tan{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{\tan{\left(x \right)}} = e^{\tan{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{\tan{\left(x \right)}}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} e^{\tan{\left(x \right)}} = 1$$
$$\lim_{x \to \infty} e^{\tan{\left(x \right)}}$$
More at x→oo
$$\lim_{x \to 1^-} e^{\tan{\left(x \right)}} = e^{\tan{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{\tan{\left(x \right)}} = e^{\tan{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{\tan{\left(x \right)}}$$
More at x→-oo
The graph