Find the limit of $\frac{y^3+1}{y+1}$ as $y$ approaches $-111$

Step-by-step Solution

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Final answer to the problem

$12433$
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Step-by-step Solution

How should I solve this problem?

  • Solve the limit using rationalization
  • Solve using L'Hôpital's rule
  • Solve without using l'Hôpital
  • Solve using limit properties
  • Solve using direct substitution
  • Solve the limit using factorization
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
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1

Evaluate the limit $\lim_{y\to-111}\left(\frac{y^3+1}{y+1}\right)$ by replacing all occurrences of $y$ by $-111$

$\frac{{\left(-111\right)}^3+1}{-111+1}$

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$\frac{{\left(-111\right)}^3+1}{-111+1}$

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Learn how to solve limits by direct substitution problems step by step online. Find the limit of (y^3+1)/(y+1) as y approaches -111. Evaluate the limit \lim_{y\to-111}\left(\frac{y^3+1}{y+1}\right) by replacing all occurrences of y by -111. Subtract the values 1 and -111. Calculate the power {\left(-111\right)}^3. Subtract the values 1 and -1367631.

Final answer to the problem

$12433$

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Function Plot

Plotting: $\frac{y^3+1}{y+1}$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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