3 years ago

Find the limit, if it exists. (if an answer does not exist, enter dne.) lim x → ∞ x4 x8 + 2

Mathematics

1 answer:

tatyana61 [14]3 years ago

7 0

lim x → ∞ x^4 x^8 + 2

Combine exponents:

lim x → ∞ x^(4 +8) + 2

lim x → ∞ x^12 + 2

The limit at infinity of a polynomial, when the leading coefficient is positive is infinity.

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To determine whether the inverse of a function is a function you can perform the horizontal line test.

iris [78.8K]

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$\boxed{\text{TRUE}}$

Step-by-step explanation:

If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.

For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.

However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.