Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 7^(1/(-3+x))
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Limit of (3-3*x^2+4*x^4+6*x^3)/(2*x^2+7*x^4)
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Limit of ((5+4*x)/(-1+5*x))^(1+3*x)
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Limit of (-6-x^2-3*x+4*x^3)/(3-x^2+2*x^3)
- Derivative of:
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x*sin(4*x)
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Identical expressions
- x*sin(four *x)
- x multiply by sinus of (4 multiply by x)
- x multiply by sinus of (four multiply by x)
- xsin(4x)
- xsin4x
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Similar expressions
- cot(3*x)*sin(4*x)
- x*(sin(4*x)/6+sin(7*x)/6)
- cot(6*x)*sin(4*x)
- cot(5*x)*sin(4*x)
Limit of the function x*sin(4*x)
The solution
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[src]
lim (x*sin(4*x)) x->1+
$$\lim_{x \to 1^+}\left(x \sin{\left(4 x \right)}\right)$$
Limit(x*sin(4*x), x, 1)
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
$$\lim_{x \to 1^-}\left(x \sin{\left(4 x \right)}\right) = \sin{\left(4 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sin{\left(4 x \right)}\right) = \sin{\left(4 \right)}$$
$$\lim_{x \to \infty}\left(x \sin{\left(4 x \right)}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(x \sin{\left(4 x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sin{\left(4 x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(x \sin{\left(4 x \right)}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sin{\left(4 x \right)}\right) = \sin{\left(4 \right)}$$
$$\lim_{x \to \infty}\left(x \sin{\left(4 x \right)}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(x \sin{\left(4 x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sin{\left(4 x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(x \sin{\left(4 x \right)}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
One‐sided limits
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lim (x*sin(4*x)) x->1+
$$\lim_{x \to 1^+}\left(x \sin{\left(4 x \right)}\right)$$
sin(4)
$$\sin{\left(4 \right)}$$
= -0.756802495307928
lim (x*sin(4*x)) x->1-
$$\lim_{x \to 1^-}\left(x \sin{\left(4 x \right)}\right)$$
sin(4)
$$\sin{\left(4 \right)}$$
= -0.756802495307928
= -0.756802495307928
The graph