Mister Exam
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How to use it?
- Limit of the function:
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Limit of (-3+2*log((3+x)/x))/x
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Limit of (15-28*x^5-19*x+16*x^2+19*x^3)/(15-30*x^2-7*x^5+11*x^4+23*x)
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Limit of (6-30*x^5-24*x^6-15*x-8*x^2+15*x^4)/(22-7*x^2+5*x^6+10*x^4+26*x^3+26*x^5+27*x)
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Limit of 2+(-1)^x
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Identical expressions
- two +(- one)^x
- 2 plus ( minus 1) to the power of x
- two plus ( minus one) to the power of x
- 2+(-1)x
- 2+-1x
- 2+-1^x
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Similar expressions
- 2+(1)^x
- 2-(-1)^x
Limit of the function 2+(-1)^x
The solution
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/ x\ lim \2 + (-1) / x->oo
$$\lim_{x \to \infty}\left(\left(-1\right)^{x} + 2\right)$$
Limit(2 + (-1)^x, x, oo, dir='-')
The graph
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\left(-1\right)^{x} + 2\right)$$
$$\lim_{x \to 0^-}\left(\left(-1\right)^{x} + 2\right) = 3$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\left(-1\right)^{x} + 2\right) = 3$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\left(-1\right)^{x} + 2\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\left(-1\right)^{x} + 2\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\left(-1\right)^{x} + 2\right)$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\left(-1\right)^{x} + 2\right) = 3$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\left(-1\right)^{x} + 2\right) = 3$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\left(-1\right)^{x} + 2\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\left(-1\right)^{x} + 2\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\left(-1\right)^{x} + 2\right)$$
More at x→-oo
The graph