Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2*sin(2*x)+sin(4*x))/(x*log(cos(6*x)))
- Limit of i*n*(1+x)/x
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Limit of (5+(1+n)^2+3*n)/(2+n^2+3*n)
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Limit of (4-x)/(4+x^2-5*x)
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Identical expressions
- - four + eleven *x/ two
- minus 4 plus 11 multiply by x divide by 2
- minus four plus eleven multiply by x divide by two
- -4+11x/2
- -4+11*x divide by 2
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Similar expressions
- -4-11*x/2
- 4+11*x/2
Limit of the function -4+11*x/2
The solution
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[src]
/ 11*x\ lim |-4 + ----| x->2+\ 2 /
$$\lim_{x \to 2^+}\left(\frac{11 x}{2} - 4\right)$$
Limit(-4 + (11*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
$$\lim_{x \to 2^-}\left(\frac{11 x}{2} - 4\right) = 7$$
More at x→2 from the left
$$\lim_{x \to 2^+}\left(\frac{11 x}{2} - 4\right) = 7$$
$$\lim_{x \to \infty}\left(\frac{11 x}{2} - 4\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{11 x}{2} - 4\right) = -4$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{11 x}{2} - 4\right) = -4$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{11 x}{2} - 4\right) = \frac{3}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{11 x}{2} - 4\right) = \frac{3}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{11 x}{2} - 4\right) = -\infty$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+}\left(\frac{11 x}{2} - 4\right) = 7$$
$$\lim_{x \to \infty}\left(\frac{11 x}{2} - 4\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{11 x}{2} - 4\right) = -4$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{11 x}{2} - 4\right) = -4$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{11 x}{2} - 4\right) = \frac{3}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{11 x}{2} - 4\right) = \frac{3}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{11 x}{2} - 4\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
/ 11*x\ lim |-4 + ----| x->2+\ 2 /
$$\lim_{x \to 2^+}\left(\frac{11 x}{2} - 4\right)$$
7
$$7$$
= 7.0
/ 11*x\ lim |-4 + ----| x->2-\ 2 /
$$\lim_{x \to 2^-}\left(\frac{11 x}{2} - 4\right)$$
7
$$7$$
= 7.0
= 7.0
The graph