Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-64+4^x)/(-3+x)
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Limit of (3-x^2+5*x)/(4*x^7+81*x)
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Limit of (-2+2*x^3+7*x)/(-4-x+3*x^3)
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Limit of (1-sin(x))/cos(x)
- Derivative of:
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exp(sin(x))
- Graphing y =:
- exp(sin(x))
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Identical expressions
- exp(sin(x))
- exponent of ( sinus of (x))
- expsinx
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Similar expressions
- (-1+2^(3*x))*(-1+exp(sin(x)^2))/(log(1-4*x^2)*sin(3*x))
- exp(sinx)
Limit of the function exp(sin(x))
The solution
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sin(x) lim e x->oo
$$\lim_{x \to \infty} e^{\sin{\left(x \right)}}$$
Limit(exp(sin(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
$$\lim_{x \to \infty} e^{\sin{\left(x \right)}} = \left\langle e^{-1}, e\right\rangle$$
$$\lim_{x \to 0^-} e^{\sin{\left(x \right)}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{\sin{\left(x \right)}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{\sin{\left(x \right)}} = e^{\sin{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{\sin{\left(x \right)}} = e^{\sin{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{\sin{\left(x \right)}} = \left\langle e^{-1}, e\right\rangle$$
More at x→-oo
$$\lim_{x \to 0^-} e^{\sin{\left(x \right)}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{\sin{\left(x \right)}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{\sin{\left(x \right)}} = e^{\sin{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{\sin{\left(x \right)}} = e^{\sin{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{\sin{\left(x \right)}} = \left\langle e^{-1}, e\right\rangle$$
More at x→-oo
The graph