👉 Try now NerdPal! Our new math app on iOS and Android

Find the limit $\lim_{x\to-4}\left(\frac{x+4}{\sqrt{3x+13}-1}\right)$

Step-by-step Solution

Go!
Math mode
Text mode
Go!
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

Final Answer

indeterminate

Step-by-step Solution

Specify the solving method

1

Evaluate the limit $\lim_{x\to-4}\left(\frac{x+4}{\sqrt{3x+13}-1}\right)$ by replacing all occurrences of $x$ by $-4$

$\frac{-4+4}{\sqrt{3\cdot -4+13}-1}$

Learn how to solve limits by direct substitution problems step by step online.

$\frac{-4+4}{\sqrt{3\cdot -4+13}-1}$

Unlock unlimited step-by-step solutions and much more!

Create a free account and unlock a glimpse of this solution.

Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(-4)lim((x+4)/((3x+13)^1/2-1)). Evaluate the limit \lim_{x\to-4}\left(\frac{x+4}{\sqrt{3x+13}-1}\right) by replacing all occurrences of x by -4. Subtract the values 4 and -4. Multiply 3 times -4. Subtract the values 13 and -12.

Final Answer

indeterminate

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve using L'Hôpital's ruleSolve using factorizationSolve using rationalizationSolve without using l'Hôpital

Give us your feedback!

Function Plot

Plotting: $\frac{x+4}{\sqrt{3x+13}-1}$

Main Topic: Limits by Direct Substitution

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

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Unlimited step-by-step math solutions. No ads.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps as well.

20% discount on online tutoring.

Choose your subscription plan:
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account