Find the limit of $27x^3+135x^2+225x+125$ as $x$ approaches 0

Step-by-step Solution

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Final answer to the problem

$125$
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Step-by-step Solution

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1

Evaluate the limit $\lim_{x\to0}\left(27x^3+135x^2+225x+125\right)$ by replacing all occurrences of $x$ by $0$

$27\cdot 0^3+135\cdot 0^2+225\cdot 0+125$

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$27\cdot 0^3+135\cdot 0^2+225\cdot 0+125$

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Learn how to solve logarithmic differentiation problems step by step online. Find the limit of 27x^3+135x^2225x+125 as x approaches 0. Evaluate the limit \lim_{x\to0}\left(27x^3+135x^2+225x+125\right) by replacing all occurrences of x by 0. Multiply 225 times 0. Add the values 0 and 125. Calculate the power 0^3.

Final answer to the problem

$125$

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Function Plot

Plotting: $27x^3+135x^2+225x+125$

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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: Logarithmic Differentiation

The logarithmic derivative of a function f(x) is defined by the formula f'(x)/f(x).

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