# 6-(-1)6. Find the local extreme values of fand the intervals on which fis increasing or is decreasing,2and sketch the graph of f (x) = x3 (8 - x).7. Find the limit or show that it does not exist H al5x2-7x+9Pule sfor practire proklems a-tVRedа. limx-oToklevms a10x2+3x-4x3-2x+4b. limx-cox2-6x-76X+12c. limx-007x2+9Ior2x2+3x-1d. limxco 3x2-x-9V4x2-9e. limx ox+33x-8f. limxo x2-6x-10Find the equations of the horizontal and vertical asymptotes of each curve.a. у 3x2-25

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I need help understanding how to solve letter E. Using L'Hopitals rule.

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Step 1

To use L’Hospital’s rule, differentiate the numerator and denominator separately with respect to the variable x.

Step 2

The term in the numerator is taken in the denominator and under the radical sign. Hence 4x is written as 16x2 in the denominator. Simplification is done as shown,

Step 3

Substitute the va...

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