Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^2*(1/3-cos(8*x)/3)
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of (-1+sin(x))/cos(x)
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Limit of (-2*sin(x)+sin(2*x))/(x*log(cos(5*x)))
- Derivative of:
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2*x^4
- Integral of d{x}:
- 2*x^4
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Identical expressions
- two *x^ four
- 2 multiply by x to the power of 4
- two multiply by x to the power of four
- 2*x4
- 2*x⁴
- 2x^4
- 2x4
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Similar expressions
- 1-x^2+2*x^4
- 8+x^3+2*x^4/3
- ((4+2*x)/(5+2*x))^(4*x)
- (x^2+8*x)/(-x+2*x^4)
- (2*x/(-3+2*x))^(4*x)
Limit of the function 2*x^4
The solution
You have entered
[src]
/ 4\ lim \2*x / x->3+
$$\lim_{x \to 3^+}\left(2 x^{4}\right)$$
Limit(2*x^4, x, 3)
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
$$\lim_{x \to 3^-}\left(2 x^{4}\right) = 162$$
More at x→3 from the left
$$\lim_{x \to 3^+}\left(2 x^{4}\right) = 162$$
$$\lim_{x \to \infty}\left(2 x^{4}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 x^{4}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 x^{4}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 x^{4}\right) = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 x^{4}\right) = 2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 x^{4}\right) = \infty$$
More at x→-oo
More at x→3 from the left
$$\lim_{x \to 3^+}\left(2 x^{4}\right) = 162$$
$$\lim_{x \to \infty}\left(2 x^{4}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 x^{4}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 x^{4}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 x^{4}\right) = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 x^{4}\right) = 2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 x^{4}\right) = \infty$$
More at x→-oo
One‐sided limits
[src]
/ 4\ lim \2*x / x->3+
$$\lim_{x \to 3^+}\left(2 x^{4}\right)$$
162
$$162$$
= 162.0
/ 4\ lim \2*x / x->3-
$$\lim_{x \to 3^-}\left(2 x^{4}\right)$$
162
$$162$$
= 162.0
= 162.0
The graph