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Finger [1]
2 years ago
13

Factor the following statement: 4x2 + 8x

Mathematics
1 answer:
ipn [44]2 years ago
5 0
The answer is
4
x
2
−
8
x
4
x
2
-
8
x
Factor
4
x
4
x
out of
4
x
2
4
x
2
.
4
x
(
x
)
−
8
x
4
x
(
x
)
-
8
x
Factor
4
x
4
x
out of
−
8
x
-
8
x
.
4
x
(
x
)
+
4
x
(
−
2
)
4
x
(
x
)
+
4
x
(
-
2
)
Factor
4
x
4
x
out of
4
x
(
x
)
+
4
x
(
−
2
)
4
x
(
x
)
+
4
x
(
-
2
)
.
4
x
(
x
−
2
)

I tried my best to put them together
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Option a.

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Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

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