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# Find the limit of $\frac{5-\cos\left(x\right)}{x^2}$ as $x$ approaches 0

## Step-by-step Solution

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$\infty$
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## Step-by-step Solution

Problem to solve:

$\lim_{x\to0}\left(\frac{5-\cos\left(x\right)}{x^2}\right)$

Choose the solving method

1

Evaluate the limit $\lim_{x\to0}\left(\frac{5-\cos\left(x\right)}{x^2}\right)$ by replacing all occurrences of $x$ by $0$

$\frac{5-\cos\left(0\right)}{0^2}$

Learn how to solve limits problems step by step online.

$\frac{5-\cos\left(0\right)}{0^2}$

Learn how to solve limits problems step by step online. Find the limit of (5-cos(x))/(x^2) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{5-\cos\left(x\right)}{x^2}\right) by replacing all occurrences of x by 0. Simplifying, we get. As by directly replacing the value to which the limit tends, we obtain an indeterminate form, we must try replacing a value close but not equal to 0. In this case, since we are approaching 0 from the left, let's try replacing a slightly smaller value, such as -0.00001 in the function within the limit:. Simplifying, we get.

$\infty$
SnapXam A2

### beta Got another 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

$\lim_{x\to0}\left(\frac{5-\cos\left(x\right)}{x^2}\right)$