Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Calculus
Find limits of polynomials and rational functions
Which value for the constant
c
c
c
makes
x
=
c
x = c
x
=
c
an extraneous solution in the following equation?
Get tutor help
Complete the missing value in the solution to the equation.
Get tutor help
1
1
1
. Find the limit.
\newline
lim
x
→
∞
3
x
4
+
2
x
(
x
2
+
2
)
(
5
x
2
+
1
)
\lim _{x \rightarrow \infty} \frac{3 x^{4}+2 x}{\left(x^{2}+2\right)\left(5 x^{2}+1\right)}
x
→
∞
lim
(
x
2
+
2
)
(
5
x
2
+
1
)
3
x
4
+
2
x
Get tutor help
Write an equation with the smallest possible degree for the function graphed above.
Get tutor help
Find
lim
h
→
0
5
arcsin
(
2
3
+
h
)
−
5
arcsin
(
2
3
)
h
\lim _{h \rightarrow 0} \frac{5 \arcsin \left(\frac{2}{3}+h\right)-5 \arcsin \left(\frac{2}{3}\right)}{h}
lim
h
→
0
h
5
a
r
c
s
i
n
(
3
2
+
h
)
−
5
a
r
c
s
i
n
(
3
2
)
.
\newline
Choose
1
1
1
answer:
\newline
(A)
3
5
3 \sqrt{5}
3
5
\newline
(B)
5
3
\frac{\sqrt{5}}{3}
3
5
\newline
(C)
3
5
5
\frac{3 \sqrt{5}}{5}
5
3
5
\newline
(D) The limit doesn't exist
Get tutor help
lim
x
→
−
5
x
2
+
5
x
x
2
+
2
x
−
15
\lim _{x \rightarrow-5} \frac{x^{2}+5 x}{x^{2}+2 x-15}
lim
x
→
−
5
x
2
+
2
x
−
15
x
2
+
5
x
Get tutor help
What's the limit of
(
2
x
+
3
x
)
\left(\frac{2x + 3}{x}\right)
(
x
2
x
+
3
)
when
x
x
x
tends to infinity?
Get tutor help
lim
x
→
0
x
y
x
y
x
−
1
\lim _{x \rightarrow 0} \frac{x y^{x}}{y^{x}-1}
lim
x
→
0
y
x
−
1
x
y
x
Get tutor help
Integrate
1
1
+
x
2
\frac{1}{1+x^{2}}
1
+
x
2
1
for limit
[
0
,
1
]
[0,1]
[
0
,
1
]
.
Get tutor help
What happens to the value of the expression
3
e
3e
3
e
as
e
e
e
increases?
\newline
Choose
1
1
1
answer:
\newline
(A) It increases.
\newline
(B) It decreases.
\newline
(C) It stays the same.
Get tutor help
Find
lim
x
→
−
4
7
x
+
28
x
2
+
x
−
12
\lim_{x \to -4}\frac{7x+28}{x^{2}+x-12}
lim
x
→
−
4
x
2
+
x
−
12
7
x
+
28
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
\newline
(B)
7
7
7
\newline
(C)
−
1
-1
−
1
\newline
(D) The limit doesn't exist
Get tutor help
Determine the following limit in simplest form. If the limit is infinite, state that the limit does not exist (DNE).
\newline
lim
x
→
∞
−
19
x
3
+
36
x
4
3
+
x
+
x
2
\lim _{x \rightarrow \infty} \frac{\sqrt{-19 x^{3}+36 x^{4}}}{3+x+x^{2}}
x
→
∞
lim
3
+
x
+
x
2
−
19
x
3
+
36
x
4
\newline
Answer:
Get tutor help
Determine the following limit in simplest form. If the limit is infinite, state that the limit does not exist (DNE).
\newline
lim
x
→
∞
25
x
4
−
28
x
2
3
x
+
5
x
2
\lim _{x \rightarrow \infty} \frac{\sqrt{25 x^{4}-28 x^{2}}}{3 x+5 x^{2}}
x
→
∞
lim
3
x
+
5
x
2
25
x
4
−
28
x
2
\newline
Answer:
Get tutor help
Determine the following limit in simplest form. If the limit is infinite, state that the limit does not exist (DNE).
\newline
lim
x
→
∞
23
x
+
64
x
9
7
x
4
+
6
x
3
\lim _{x \rightarrow \infty} \frac{\sqrt{23 x+64 x^{9}}}{7 x^{4}+6 x^{3}}
x
→
∞
lim
7
x
4
+
6
x
3
23
x
+
64
x
9
\newline
Answer:
Get tutor help
What happens to the value of the expression
3
y
2
y
\frac{3y}{2y}
2
y
3
y
as
y
y
y
increases?
\newline
Choose
1
1
1
answer:
\newline
(A) It increases.
\newline
(B) It decreases.
\newline
(C) It stays the same.
Get tutor help
Find
lim
x
→
4
3
x
(
x
−
2
)
(
x
+
2
)
\lim _{x \rightarrow 4} \frac{3 x}{(x-2)(x+2)}
lim
x
→
4
(
x
−
2
)
(
x
+
2
)
3
x
.
\newline
Choose
1
1
1
answer:
\newline
(A)
1
4
\frac{1}{4}
4
1
\newline
(B)
3
4
\frac{3}{4}
4
3
\newline
(C)
1
1
1
\newline
(D) The limit doesn't exist
Get tutor help
Find
lim
x
→
∞
x
+
1
x
2
+
1
\lim _{x \rightarrow \infty} \frac{x+1}{x^{2}+1}
lim
x
→
∞
x
2
+
1
x
+
1
.
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
\newline
(B)
2
2
2
\newline
(C)
0
0
0
\newline
(D) The limit is unbounded
Get tutor help
Find
lim
x
→
∞
x
2
−
4
x
+
4
\lim _{x \rightarrow \infty} \frac{x^{2}-4}{x+4}
lim
x
→
∞
x
+
4
x
2
−
4
.
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
\newline
(B)
−
1
-1
−
1
\newline
(C)
0
0
0
\newline
(D) The limit is unbounded
Get tutor help
