Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
-
Limit of (2*(-1)^x+8*x^6)/(32-6*x^5+5*x^6)
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Limit of -3-x+11*x^2/2
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Limit of (-5-24*x+5*x^2)/(-5+x)
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Limit of (2+4*x)/(1+x)
- Integral of d{x}:
- 2^(-x)*sin(x)
- Graphing y =:
- 2^(-x)*sin(x)
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Identical expressions
- two ^(-x)*sin(x)
- 2 to the power of ( minus x) multiply by sinus of (x)
- two to the power of ( minus x) multiply by sinus of (x)
- 2(-x)*sin(x)
- 2-x*sinx
- 2^(-x)sin(x)
- 2(-x)sin(x)
- 2-xsinx
- 2^-xsinx
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Similar expressions
- 2^(x)*sin(x)
- 2^(-x)*sinx
Limit of the function 2^(-x)*sin(x)
The solution
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/ -x \ lim \2 *sin(x)/ x->oo
$$\lim_{x \to \infty}\left(2^{- x} \sin{\left(x \right)}\right)$$
Limit(sin(x)/2^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
$$\lim_{x \to \infty}\left(2^{- x} \sin{\left(x \right)}\right) = 0$$
$$\lim_{x \to 0^-}\left(2^{- x} \sin{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2^{- x} \sin{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2^{- x} \sin{\left(x \right)}\right) = \frac{\sin{\left(1 \right)}}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2^{- x} \sin{\left(x \right)}\right) = \frac{\sin{\left(1 \right)}}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2^{- x} \sin{\left(x \right)}\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(2^{- x} \sin{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2^{- x} \sin{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2^{- x} \sin{\left(x \right)}\right) = \frac{\sin{\left(1 \right)}}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2^{- x} \sin{\left(x \right)}\right) = \frac{\sin{\left(1 \right)}}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2^{- x} \sin{\left(x \right)}\right) = 0$$
More at x→-oo
The graph