Thread: limits

Consider the relationship involving g(x).

8x ≤ g(x) ≤ 4x^4 - 4x^2 + 8 for all x

Evaluate the following limit.

Originally Posted by zweevu

Consider the relationship involving g(x).

8x ≤ g(x) ≤ 4x^4 - 4x^2 + 8 for all x

Evaluate the following limit.

This is a straightforward application of the sandwich theorem.

Note that if

for all , then



.


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Originally Posted by zweevu

Consider the relationship involving g(x).

8x ≤ g(x) ≤ 4x^4 - 4x^2 + 8 for all x

Evaluate the following limit.

Since g(x) lies between the other two functions of x for all x, evaluate the limits of the others and analyze the result.