Find the limit of $x\sqrt{dx+1}-1$ as $x$ approaches 0

Step-by-step Solution

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acos
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sinh
cosh
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csch

asinh
acosh
atanh
acoth
asech
acsch

Final answer to the problem

$-1$
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Step-by-step Solution

How should I solve this problem?

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

Evaluate the limit $\lim_{x\to0}\left(x\sqrt{dx+1}-1\right)$ by replacing all occurrences of $x$ by $0$

$0\sqrt{dx+1}-1$
2

Any expression multiplied by $0$ is equal to $0$

$-1$

Final answer to the problem

$-1$

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Function Plot

Plotting: $x\sqrt{dx+1}-1$

SnapXam A2
Answer Assistant

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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.

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