Determining Convergence or Divergence In Exercises 27-34, test for convergence or divergence, using each test at least once. Identify which test was used. (a) nth-Term Test (b) Geometric Series Test (c) p-Series Test (d) Telescoping Series Test (e) Integral Test (f) Direct Comparison Test (g) Limit Comparison Test ∑ n = 0 ∞ 4 ( − 4 3 ) n
Determining Convergence or Divergence In Exercises 27-34, test for convergence or divergence, using each test at least once. Identify which test was used. (a) nth-Term Test (b) Geometric Series Test (c) p-Series Test (d) Telescoping Series Test (e) Integral Test (f) Direct Comparison Test (g) Limit Comparison Test ∑ n = 0 ∞ 4 ( − 4 3 ) n
Solution Summary: The author explains how a geometric series with ratio r diverges when left|rright|ge 1.
Determining Convergence or Divergence In Exercises 27-34, test for convergence or divergence, using each test at least once. Identify which test was used.
Use Euler's method to numerically integrate
dy
dx
-2x+12x² - 20x +8.5
from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall
that the exact solution is given by y = -0.5x+4x³- 10x² + 8.5x+1
Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
2
f(x)=8x²+4x-7; slope of the tangent line = -3
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