Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-2*x+5*x^2)/(-3+x+2*x^2)
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Limit of (-asin(x)+2*x)/(2*x+acot(x))
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Limit of (-5+2*x)^(2*x/(-3+x))
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Limit of (1+2*x^2+5*x)/(-3+x^2+2*x)
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Identical expressions
- e^(-x)*tan(x)
- e to the power of ( minus x) multiply by tangent of (x)
- e(-x)*tan(x)
- e-x*tanx
- e^(-x)tan(x)
- e(-x)tan(x)
- e-xtanx
- e^-xtanx
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Similar expressions
- e^(x)*tan(x)
Limit of the function e^(-x)*tan(x)
The solution
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/ -x \ lim \E *tan(x)/ x->oo
$$\lim_{x \to \infty}\left(e^{- x} \tan{\left(x \right)}\right)$$
Limit(E^(-x)*tan(x), x, oo, dir='-')
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
$$\lim_{x \to \infty}\left(e^{- x} \tan{\left(x \right)}\right) = 0$$
$$\lim_{x \to 0^-}\left(e^{- x} \tan{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{- x} \tan{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{- x} \tan{\left(x \right)}\right) = \frac{\tan{\left(1 \right)}}{e}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{- x} \tan{\left(x \right)}\right) = \frac{\tan{\left(1 \right)}}{e}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{- x} \tan{\left(x \right)}\right)$$
More at x→-oo
$$\lim_{x \to 0^-}\left(e^{- x} \tan{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{- x} \tan{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{- x} \tan{\left(x \right)}\right) = \frac{\tan{\left(1 \right)}}{e}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{- x} \tan{\left(x \right)}\right) = \frac{\tan{\left(1 \right)}}{e}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{- x} \tan{\left(x \right)}\right)$$
More at x→-oo
The graph