When x<span> approaches to </span><span>+∞</span><span> the function </span><span>e^<span>3x</span></span><span> becomes much bigger then </span><span>e^<span>−3x</span></span><span>, which obviously means that </span><span>e^<span>−3x</span></span><span> can be neglected in both numerator and denominator.
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Here's how I figured this out:
</span><span>lim <span>x →+∞ </span></span>= (<span><span><span>e^(<span>3x))</span></span>− (<span>e^(<span>−3x)) / (</span></span></span><span><span>e^<span>3x)) </span></span>+ (<span>e^(<span>−3x)) </span></span></span></span>= <span>lim <span>x → +∞ </span></span><span><span>e^<span>3x / </span></span><span>e^<span>3x </span></span></span>= 1
<u>Given</u>:
Given that the model of the house.
The house is made up of two composite figures triangle and rectangle.
The two sides of the triangle are 6x - 4 units each.
The length of the rectangle is 14x + 13.
The width of the rectangle is 12x + 3.
We need to determine the perimeter of the house.
<u>Perimeter:</u>
The perimeter of the house can be determined by adding all the sides of the house.
Thus, we have;

Simplifying the terms, we get;

Adding the like terms, we have;

Thus, the perimeter of the house is 50x + 11 units.
Hence, Option d is the correct answer.
Compound interest sequence
There's a simple formula for the area of an ellipse: pi*a*b, where a and b are , half the lengths of the long axis and the short axis respectively.
Here, A = pi*(12 ft)(4 ft) = 48 pi ft^2, or about 150.8 ft^2.
Answer:
-5
Step-by-step explanation: