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Find the limit $\lim_{x\to h}\left(\frac{x^2+h^2}{x+h}\right)$

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Final Answer

$h$
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Step-by-step Solution

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Evaluate the limit $\lim_{x\to h}\left(\frac{x^2+h^2}{x+h}\right)$ by replacing all occurrences of $x$ by $h$

$\frac{h^2+h^2}{h+h}$

Learn how to solve limits by direct substitution problems step by step online.

$\frac{h^2+h^2}{h+h}$

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Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(h)lim((x^2+h^2)/(x+h)). Evaluate the limit \lim_{x\to h}\left(\frac{x^2+h^2}{x+h}\right) by replacing all occurrences of x by h. Combining like terms h^2 and h^2. Combining like terms h and h. Simplify the fraction \frac{2h^2}{2h} by h.

Final Answer

$h$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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

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Function Plot

Plotting: $\frac{x^2+h^2}{x+h}$

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Answer Assistant

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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: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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