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

Find the limit $\lim_{n\to1}\left(\frac{\ln\left(n+1\right)}{n}\right)$

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

$\ln\left(2\right)$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

Evaluate the limit $\lim_{n\to1}\left(\frac{\ln\left(n+1\right)}{n}\right)$ by replacing all occurrences of $n$ by $1$

$\frac{\ln\left(1+1\right)}{1}$

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

$\frac{\ln\left(1+1\right)}{1}$

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 (n)->(1)lim(ln(n+1)/n). Evaluate the limit \lim_{n\to1}\left(\frac{\ln\left(n+1\right)}{n}\right) by replacing all occurrences of n by 1. Add the values 1 and 1. Calculating the natural logarithm of 2. Divide \ln\left(2\right) by 1.

Final Answer

$\ln\left(2\right)$

Exact Numeric Answer

$0.693147$

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

Limits by Direct SubstitutionLimits by L'Hôpital's ruleLimits by FactoringLimits by Rationalizing

Give us your feedback!

Function Plot

Plotting: $\frac{\ln\left(n+1\right)}{n}$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

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

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.

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