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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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Final Answer

$\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.

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

Unlock this full step-by-step solution!

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.

Final Answer

$\infty $
SnapXam A2
Answer Assistant

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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

Tips on how to improve your answer:

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

Main topic:

Limits

Time to solve it:

~ 0.16 s

Related topics:

Limits