Mister Exam
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How to use it?
- Limit of the function:
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Limit of (6+x^2+5*x)/(3+x)
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Limit of -6-6*x^2-4*x
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Limit of (6+x^2-5*x)/(8+x^2)
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Limit of (6+x^2-5*x)/(24-14*x+2*x^2)
- Derivative of:
- a*cos(t)
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Identical expressions
- a*cos(t)
- a multiply by co sinus of e of (t)
- acos(t)
- acost
Limit of the function a*cos(t)
The solution
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lim (a*cos(t)) t->oo
$$\lim_{t \to \infty}\left(a \cos{\left(t \right)}\right)$$
Limit(a*cos(t), t, 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
Other limits t→0, -oo, +oo, 1
$$\lim_{t \to \infty}\left(a \cos{\left(t \right)}\right) = \left\langle -1, 1\right\rangle a$$
$$\lim_{t \to 0^-}\left(a \cos{\left(t \right)}\right) = a$$
More at t→0 from the left
$$\lim_{t \to 0^+}\left(a \cos{\left(t \right)}\right) = a$$
More at t→0 from the right
$$\lim_{t \to 1^-}\left(a \cos{\left(t \right)}\right) = a \cos{\left(1 \right)}$$
More at t→1 from the left
$$\lim_{t \to 1^+}\left(a \cos{\left(t \right)}\right) = a \cos{\left(1 \right)}$$
More at t→1 from the right
$$\lim_{t \to -\infty}\left(a \cos{\left(t \right)}\right) = \left\langle -1, 1\right\rangle a$$
More at t→-oo
$$\lim_{t \to 0^-}\left(a \cos{\left(t \right)}\right) = a$$
More at t→0 from the left
$$\lim_{t \to 0^+}\left(a \cos{\left(t \right)}\right) = a$$
More at t→0 from the right
$$\lim_{t \to 1^-}\left(a \cos{\left(t \right)}\right) = a \cos{\left(1 \right)}$$
More at t→1 from the left
$$\lim_{t \to 1^+}\left(a \cos{\left(t \right)}\right) = a \cos{\left(1 \right)}$$
More at t→1 from the right
$$\lim_{t \to -\infty}\left(a \cos{\left(t \right)}\right) = \left\langle -1, 1\right\rangle a$$
More at t→-oo