Mister Exam
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- Limit of the function:
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Limit of (1+2*n)/(-1+3*n)
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Limit of -2+x^3+6*x
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Limit of (2+x^2-3*x)/(4+x^2-5*x)
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Limit of (-15+x^2-2*x)/(-15-7*x+2*x^2)
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Identical expressions
- - eight +(one / five)^x
- minus 8 plus (1 divide by 5) to the power of x
- minus eight plus (one divide by five) to the power of x
- -8+(1/5)x
- -8+1/5x
- -8+1/5^x
- -8+(1 divide by 5)^x
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Similar expressions
- -8-(1/5)^x
- 8+(1/5)^x
Limit of the function -8+(1/5)^x
The solution
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[src]
/ -x\ lim \-8 + 5 / x->-1+
$$\lim_{x \to -1^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right)$$
Limit(-8 + (1/5)^x, 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
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/ -x\ lim \-8 + 5 / x->-1+
$$\lim_{x \to -1^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right)$$
-3
$$-3$$
= -3.0
/ -x\ lim \-8 + 5 / x->-1-
$$\lim_{x \to -1^-}\left(-8 + \left(\frac{1}{5}\right)^{x}\right)$$
-3
$$-3$$
= -3.0
= -3.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -1^-}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -3$$
More at x→-1 from the left
$$\lim_{x \to -1^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -3$$
$$\lim_{x \to \infty}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -8$$
More at x→oo
$$\lim_{x \to 0^-}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -7$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -7$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = - \frac{39}{5}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = - \frac{39}{5}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = \infty$$
More at x→-oo
More at x→-1 from the left
$$\lim_{x \to -1^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -3$$
$$\lim_{x \to \infty}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -8$$
More at x→oo
$$\lim_{x \to 0^-}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -7$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -7$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = - \frac{39}{5}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = - \frac{39}{5}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = \infty$$
More at x→-oo
The graph