Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-64+4^x)/(-3+x)
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Limit of (3-x^2+5*x)/(4*x^7+81*x)
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Limit of (-2+2*x^3+7*x)/(-4-x+3*x^3)
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Limit of (1-sin(x))/cos(x)
- Graphing y =:
- 3*x/2
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Identical expressions
- three *x/ two
- 3 multiply by x divide by 2
- three multiply by x divide by two
- 3x/2
- 3*x divide by 2
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Similar expressions
- sin(4*x)*tan(3*x)/(2*x^2)
- x^2*sin(4*x)*tan(3*x)/2
- tan(3*x)/(2*sin(5*x))
- (1-cos(3*x))/(2*x^2)
- (2+x^2-3*x)/(2-5*x+2*x^2)
Limit of the function 3*x/2
The solution
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[src]
/3*x\ lim |---| x->1+\ 2 /
$$\lim_{x \to 1^+}\left(\frac{3 x}{2}\right)$$
Limit((3*x)/2, x, 1)
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
One‐sided limits
[src]
/3*x\ lim |---| x->1+\ 2 /
$$\lim_{x \to 1^+}\left(\frac{3 x}{2}\right)$$
3/2
$$\frac{3}{2}$$
= 1.5
/3*x\ lim |---| x->1-\ 2 /
$$\lim_{x \to 1^-}\left(\frac{3 x}{2}\right)$$
3/2
$$\frac{3}{2}$$
= 1.5
= 1.5
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(\frac{3 x}{2}\right) = \frac{3}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{3 x}{2}\right) = \frac{3}{2}$$
$$\lim_{x \to \infty}\left(\frac{3 x}{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{3 x}{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{3 x}{2}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(\frac{3 x}{2}\right) = -\infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{3 x}{2}\right) = \frac{3}{2}$$
$$\lim_{x \to \infty}\left(\frac{3 x}{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{3 x}{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{3 x}{2}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(\frac{3 x}{2}\right) = -\infty$$
More at x→-oo
The graph