Please answer all the questions to show continuity, differentiability and that it is reimann integrable thanks 2b.2c.2d.Show that the functionis continuous on R.ƒ: R→ R, f(x)1Show that f given in 2b) is intergrable and* f (x) da = 2In 2 ==n=1∞2Σn=1n=1Let 0 < d < π be given. Show that f given in 2b) is differentiable at each x € (8, 2π – 8).Find f' (T).Hint: Use the following formulasin (nx)n²1(2n − 1)³n

Givenf:R→R, f(x)=∑n=1∞sin(nx)n2We will use the following concepts to prove the…

Show that the function is continuous on R. f: R→ R, f(x)= 1 Show that f given in 2b) is intergrable and fő f (x) dx = 2 In 2 = = ∞ n=1 sin (nx) Σ n² n=1 Let 08< be given. Show that f given in 2b) is differentiable at each x € (8,27 - 6). Find f' (T). Hint: Use the following formula n=1 1 (2n - 1)³ (−1)n- n

Show that the function is continuous on R. f: R→ R, f(x)= 1 Show that f given in 2b) is intergrable and fő f (x) dx = 2 In 2 = = ∞ n=1 sin (nx) Σ n² n=1 Let 08< be given. Show that f given in 2b) is differentiable at each x € (8,27 - 6). Find f' (T). Hint: Use the following formula n=1 1 (2n - 1)³ (−1)n- n

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.3: Maxima And Minima

Problem 33E

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