Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((-4+3*x)/(2+3*x))^(1+x)/3
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Limit of (-16+2^x)/(-1+5*sqrt(x)*(5-x))
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Limit of (-14+x^2-5*x)/(-6+x+2*x^2)
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Limit of (3+x^2+4*x)/(1+x^3)
- Derivative of:
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4+x
- Graphing y =:
- 4+x
- Integral of d{x}:
- 4+x
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Identical expressions
- four +x
- 4 plus x
- four plus x
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Similar expressions
- 4-x
Limit of the function 4+x
The solution
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
$$\lim_{x \to 5^-}\left(x + 4\right) = 9$$
More at x→5 from the left
$$\lim_{x \to 5^+}\left(x + 4\right) = 9$$
$$\lim_{x \to \infty}\left(x + 4\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x + 4\right) = 4$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + 4\right) = 4$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x + 4\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + 4\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + 4\right) = -\infty$$
More at x→-oo
More at x→5 from the left
$$\lim_{x \to 5^+}\left(x + 4\right) = 9$$
$$\lim_{x \to \infty}\left(x + 4\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x + 4\right) = 4$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + 4\right) = 4$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x + 4\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + 4\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + 4\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
lim (4 + x) x->5+
$$\lim_{x \to 5^+}\left(x + 4\right)$$
9
$$9$$
= 9.0
lim (4 + x) x->5-
$$\lim_{x \to 5^-}\left(x + 4\right)$$
9
$$9$$
= 9.0
= 9.0
The graph