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Find the limit of $\left(\frac{x^3+2}{x^3+x+1}\right)^{\left(x^2\right)}$ as $x$ approaches 0

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 Solution

 Videos

Finding specific antiderivatives: exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=T8rbpI4OZCc

Limit of (sin x)/x as x approaches 0

https://www.youtube.com/watch?v=5xitzTutKqM

Calculus - Derivative of inverse function given an equation, f(x) = x^3 + 7x; Find g'(8)

https://www.youtube.com/watch?v=cPvUjcS7N9w

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

Algebra 2 - Evaluating functions for numeric values, p(x) = 2x^2 - 4x + 1. Find p(2) and p(-1)

https://www.youtube.com/watch?v=POdNjomXHWA

How do we find the period of our trigonometric graphs sine and cosine

https://www.youtube.com/watch?v=yZLeN_9jjGg

 Function Plot

Plotting: $\left(\frac{x^3+2}{x^3+x+1}\right)^{\left(x^2\right)}$

SnapXam A²

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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

D^□_x

∫

∫^◻

|◻|

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 of Exponential Functions

Those are limits of expressions of the form f(x)^g(x).

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