Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
1 answer:
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x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
Step-by-step explanation:
We shall expand the brackets;
(x + 2)^6
x⁶ + x⁵2 + x⁴2² + x³2³ + x²2⁴ + x2⁵ + 2⁶
x⁶ + 2x⁵ + 4x⁴ + 8x³ + 16x² + 32x + 64
We shall then use Pascal’s triangle to fit in the coefficients;
(1) x⁶ + (6) 2x⁵ + (15) 4x⁴ + (20) 8x³ + (15) 16x² + (6) 32x + (1) 64
x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
The limit of the expression as x approaches -3 is -24
<h3>How to determine the limit of the expression?</h3>The expression is given as:
As x approaches -3.
The limit expression becomes
Substitute -3 for x in the expression
Evaluate the expression
Hence, the limit of the expression as x approaches -3 is -24
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