Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (3-3*x^2+4*x^4+6*x^3)/(2*x^2+7*x^4)
-
Limit of ((5+4*x)/(-1+5*x))^(1+3*x)
-
Limit of (1+x^3-2*x)/(8+x^10-9*x)
- Limit of x^2+a/(x^3-a^3)-x*(1+a)
- Derivative of:
-
5*sin(x)
-
Identical expressions
- five *sin(x)
- 5 multiply by sinus of (x)
- five multiply by sinus of (x)
- 5sin(x)
- 5sinx
-
Similar expressions
- (2-5^(sin(x)^2))^(x^(-2))
- x^(8/15)*sin(x^2)/(1+x)
- cos(x^(-5))*sin(x)
- 5*sinx
Limit of the function 5*sin(x)
The solution
You have entered
[src]
lim (5*sin(x)) x->0+
$$\lim_{x \to 0^+}\left(5 \sin{\left(x \right)}\right)$$
Limit(5*sin(x), x, 0)
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
$$\lim_{x \to 0^-}\left(5 \sin{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(5 \sin{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(5 \sin{\left(x \right)}\right) = \left\langle -5, 5\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-}\left(5 \sin{\left(x \right)}\right) = 5 \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(5 \sin{\left(x \right)}\right) = 5 \sin{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(5 \sin{\left(x \right)}\right) = \left\langle -5, 5\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(5 \sin{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(5 \sin{\left(x \right)}\right) = \left\langle -5, 5\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-}\left(5 \sin{\left(x \right)}\right) = 5 \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(5 \sin{\left(x \right)}\right) = 5 \sin{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(5 \sin{\left(x \right)}\right) = \left\langle -5, 5\right\rangle$$
More at x→-oo
One‐sided limits
[src]
lim (5*sin(x)) x->0+
$$\lim_{x \to 0^+}\left(5 \sin{\left(x \right)}\right)$$
0
$$0$$
= -2.22836010439284e-31
lim (5*sin(x)) x->0-
$$\lim_{x \to 0^-}\left(5 \sin{\left(x \right)}\right)$$
0
$$0$$
= 2.22836010439284e-31
= 2.22836010439284e-31
The graph