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Find the limit of $\left(\frac{4x^2+5x}{3x^2+2x}\right)^{\frac{\sin\left(2x\right)}{x}}$ as $x$ approaches 0

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 Solution

 Videos

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

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

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

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

Pre-Calculus - Graphing rational functions using 5 steps, g(x) = (-3x^2 + x + 12) / (x^2 - 4)

https://www.youtube.com/watch?v=fG2HAWBNVNE

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

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

Pre-Calculus - Operations with functions f(x) = 2x -5 , g(x) = 2-x and f(x) = x^2+6 , g(x) root(1-x)

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

If function u is continuous at x, then _u_0 as _x_0 | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=l6T4RhlgkG0

 Function Plot

Plotting: $\left(\frac{4x^2+5x}{3x^2+2x}\right)^{\frac{\sin\left(2x\right)}{x}}$

SnapXam A²

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Got a different answer? Verify it!

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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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