Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2+x)/(-2+x^2-x)
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Limit of cos(5*x)*sin(2*x)/tan(x)
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Limit of 3*sin(x)^2/(4*x)
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Limit of log(1+e^x)
- Derivative of:
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5*x^2
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Identical expressions
- five *x^ two
- 5 multiply by x squared
- five multiply by x to the power of two
- 5*x2
- 5*x²
- 5*x to the power of 2
- 5x^2
- 5x2
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Similar expressions
- tan(x)^2/(5*x^2)
- (-5-24*x+5*x^2)/(-5+x)
- sin(x^2)^3/(5*x^2)
- (-5*x^2+6*x)/(-2*x+8*x^3)
Limit of the function 5*x^2
The solution
You have entered
[src]
/ 2\ lim \5*x / x->2+
$$\lim_{x \to 2^+}\left(5 x^{2}\right)$$
Limit(5*x^2, x, 2)
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
$$\lim_{x \to 2^-}\left(5 x^{2}\right) = 20$$
More at x→2 from the left
$$\lim_{x \to 2^+}\left(5 x^{2}\right) = 20$$
$$\lim_{x \to \infty}\left(5 x^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(5 x^{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(5 x^{2}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(5 x^{2}\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(5 x^{2}\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(5 x^{2}\right) = \infty$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+}\left(5 x^{2}\right) = 20$$
$$\lim_{x \to \infty}\left(5 x^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(5 x^{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(5 x^{2}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(5 x^{2}\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(5 x^{2}\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(5 x^{2}\right) = \infty$$
More at x→-oo
One‐sided limits
[src]
/ 2\ lim \5*x / x->2+
$$\lim_{x \to 2^+}\left(5 x^{2}\right)$$
20
$$20$$
= 20
/ 2\ lim \5*x / x->2-
$$\lim_{x \to 2^-}\left(5 x^{2}\right)$$
20
$$20$$
= 20
= 20
The graph