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

Step-by-step Solution

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Final Answer

$\infty $
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Step-by-step Solution

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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 by direct substitution problems step by step online.

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

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Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim((5-cos(x))/(x^2)). Evaluate the limit \lim_{x\to0}\left(\frac{5-\cos\left(x\right)}{x^2}\right) by replacing all occurrences of x by 0. Calculate the power 0^2. The cosine of 0 equals 1. Subtract the values 5 and -1.

Final Answer

$\infty $

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

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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

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Main Topic: Limits by Direct Substitution

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