Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of (-tan(2*x)+sin(2*x))/x^3
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Limit of 3/n^4
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Limit of (1-cos(x)^2)/(x^2*sin(x)^2)
- Graphing y =:
- 4*x^5
- Derivative of:
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4*x^5
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Identical expressions
- four *x^ five
- 4 multiply by x to the power of 5
- four multiply by x to the power of five
- 4*x5
- 4*x⁵
- 4x^5
- 4x5
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Similar expressions
- (3-x^3+2*x^5)/(x^2+4*x^5)
Limit of the function 4*x^5
The solution
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[src]
/ 5\ lim \4*x / x->2+
$$\lim_{x \to 2^+}\left(4 x^{5}\right)$$
Limit(4*x^5, 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
$$\lim_{x \to 2^-}\left(4 x^{5}\right) = 128$$
More at x→2 from the left
$$\lim_{x \to 2^+}\left(4 x^{5}\right) = 128$$
$$\lim_{x \to \infty}\left(4 x^{5}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(4 x^{5}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(4 x^{5}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(4 x^{5}\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(4 x^{5}\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(4 x^{5}\right) = -\infty$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+}\left(4 x^{5}\right) = 128$$
$$\lim_{x \to \infty}\left(4 x^{5}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(4 x^{5}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(4 x^{5}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(4 x^{5}\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(4 x^{5}\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(4 x^{5}\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
/ 5\ lim \4*x / x->2+
$$\lim_{x \to 2^+}\left(4 x^{5}\right)$$
128
$$128$$
= 128.0
/ 5\ lim \4*x / x->2-
$$\lim_{x \to 2^-}\left(4 x^{5}\right)$$
128
$$128$$
= 128.0
= 128.0
The graph