Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (5+3*x)/(-5+x)
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Limit of (-9+x^2)/(15+x^2-8*x)
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Limit of (-1+x)/log(x)
- Limit of (a+x^2-x*(1+a))/(x^3-a^3)
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Identical expressions
- (five + three *x)/(- five +x)
- (5 plus 3 multiply by x) divide by ( minus 5 plus x)
- (five plus three multiply by x) divide by ( minus five plus x)
- (5+3x)/(-5+x)
- 5+3x/-5+x
- (5+3*x) divide by (-5+x)
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Similar expressions
- (5+3*x)/(5+x)
- (5-3*x)/(-5+x)
- (5+3*x)/(-5-x)
Limit of the function (5+3*x)/(-5+x)
The solution
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[src]
/5 + 3*x\ lim |-------| x->7+\ -5 + x/
$$\lim_{x \to 7^+}\left(\frac{3 x + 5}{x - 5}\right)$$
Limit((5 + 3*x)/(-5 + x), x, 7)
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
$$\lim_{x \to 7^-}\left(\frac{3 x + 5}{x - 5}\right) = 13$$
More at x→7 from the left
$$\lim_{x \to 7^+}\left(\frac{3 x + 5}{x - 5}\right) = 13$$
$$\lim_{x \to \infty}\left(\frac{3 x + 5}{x - 5}\right) = 3$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{3 x + 5}{x - 5}\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{3 x + 5}{x - 5}\right) = -1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{3 x + 5}{x - 5}\right) = -2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{3 x + 5}{x - 5}\right) = -2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{3 x + 5}{x - 5}\right) = 3$$
More at x→-oo
More at x→7 from the left
$$\lim_{x \to 7^+}\left(\frac{3 x + 5}{x - 5}\right) = 13$$
$$\lim_{x \to \infty}\left(\frac{3 x + 5}{x - 5}\right) = 3$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{3 x + 5}{x - 5}\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{3 x + 5}{x - 5}\right) = -1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{3 x + 5}{x - 5}\right) = -2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{3 x + 5}{x - 5}\right) = -2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{3 x + 5}{x - 5}\right) = 3$$
More at x→-oo
One‐sided limits
[src]
/5 + 3*x\ lim |-------| x->7+\ -5 + x/
$$\lim_{x \to 7^+}\left(\frac{3 x + 5}{x - 5}\right)$$
13
$$13$$
= 13.0
/5 + 3*x\ lim |-------| x->7-\ -5 + x/
$$\lim_{x \to 7^-}\left(\frac{3 x + 5}{x - 5}\right)$$
13
$$13$$
= 13.0
= 13.0
The graph