Σ (-1) n+1 diverges because lim(-1)"+1 dose not exist n=1

Q: x if x20 If Ax) = -x2 then f'(0) if x <0

A: Given function, fx=x2      if x≥0-x2   if x&lt;0

Q: Given (3x + 1)*: The term with x is:

A:

Q: If f(3) 9 and f'(x) ≥ 2 for 3≤ x ≤ 8, how small can f(8) possibly be? f(8) ≥

A:

Q: ax? If f(x) = if x > 1 then the bæ + 2 if a<1 values of a and b such that f is differentiable on…

A: For function to be continuous

Q: If integral subscript 2 superscript 3 f(x)dx=4 and integral subscript 3 superscript 5 f(x)dx=7, then…

A: A detailed solution is given below.

Q: Which of the following statements are true if and only if the sequence of real numbers {n} is a…

A:

Q: How do you evaluate the limit as t approaches 0 (1/t*the square root of 1 + t  - 1/t) with the…

A: Obtain the value of limit as follows.

Q: et - e* lim,0 2 sin x

A: Consider the given function, limx→0ex-e-x2sinx put the value of limit into the function,…

Q: If limit t y = f(x) write an expression for the differentia dy

A: Given: y=f(x)

Q: y' -8 d. lim y+2 2 2y – 7y+12

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If f(x) = 3x² +5+ (4x – 3)* | , then f '(x) is - + 5+ (4x – 3)*]" [4(4x – 3)'] B. [3* +5+ (4r -…

A: Given:            fx=3x2+5+4x-349 Solve: f'x           ddxfx=ddx3x2+5+4x-349

Q: 4 Find f(x) dx if if x< 2 f(x) if x 2 2.

A: To evaluate the given integral

Q: 10 - (*;")" 1/t 2' +3' f(t) = for t + 0. 3 lim f(t) =

A: The given function is ft=2t+3t31t  for t≠0. Find the limit value limt→+∞ft. Limit of the…

Q: 2) f(n)=10 - 2" at n= 5

A: