Find the limit of $\frac{t^2-1}{4t^2+2t-6}$ as $t$ approaches $1$

Step-by-step Solution

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Final answer to the problem

$\frac{1}{5}$
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Step-by-step Solution

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  • Integrate by partial fractions
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1

Factor the trinomial $4t^2+2t-6$ of the form $ax^2+bx+c$, first, make the product of $4$ and $-6$

$\left(4\right)\left(-6\right)=-24$

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

$\left(4\right)\left(-6\right)=-24$

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Learn how to solve limits by direct substitution problems step by step online. Find the limit of (t^2-1)/(4t^2+2t+-6) as t approaches 1. Factor the trinomial 4t^2+2t-6 of the form ax^2+bx+c, first, make the product of 4 and -6. Now, find two numbers that multiplied give us -24 and add up to 2. Rewrite the original expression. Factor 4t^2+6t-4t-6 by the greatest common divisor 4.

Final answer to the problem

$\frac{1}{5}$

Exact Numeric Answer

$0.2$

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Function Plot

Plotting: $\frac{t^2-1}{4t^2+2t-6}$

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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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