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Find the limit $\lim_{x\to3}\left(\frac{x^2+4x-21}{x-3}\right)$

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Final Answer

$10$
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Step-by-step Solution

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Factor the trinomial $x^2+4x-21$ finding two numbers that multiply to form $-21$ and added form $4$

$\begin{matrix}\left(-3\right)\left(7\right)=-21\\ \left(-3\right)+\left(7\right)=4\end{matrix}$

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$\begin{matrix}\left(-3\right)\left(7\right)=-21\\ \left(-3\right)+\left(7\right)=4\end{matrix}$

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Learn how to solve integral calculus problems step by step online. Find the limit (x)->(3)lim((x^2+4x+-21)/(x-3)). Factor the trinomial x^2+4x-21 finding two numbers that multiply to form -21 and added form 4. Thus. Simplifying. Evaluate the limit \lim_{x\to3}\left(x+7\right) by replacing all occurrences of x by 3.

Final Answer

$10$

Exact Numeric Answer

$10$

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Limits by Direct SubstitutionLimits by L'Hôpital's ruleLimits by factoringLimits by rationalizing

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7
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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: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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