41. Show that f(x) = 3√x is continuous at x = 0 but not dif- ferentiable at x = 0. Sketch the graph of f.

Q: Evaluate lim f(x), lim f(x), and lim f(x) at the point a = 5, if the limits exist. (If an answer…

A: Given function : f(x) = 10 -x  if x ≤5 f(x) = x + 3 if x > 5

Q: x+6x2 5. lim X→00 3x -5

A: We have to find limx→∞x+6x23x-5 Divide numerator and denominator by x:…

Q: Q14: Compute the following indefinite integral х2+5х+6

A:

Q: Describe about the Why the Central Limit Theorem Works.

A:

Q: i'm

A: Given :     limn→∞n+1n+1

Q: Find the limit point of the open interval (a, b) in IR, where a

A: We have to find the limit point of the open interval a, b in ℝ  where a<b. Limit point: Let S be…

Q: Central Limit Theorem

A: Statement of Central Limit Theorem is : Suppose X1, X2,....., Xn is a random sample from a…

Q: the limit cannot be zero for part b?

A:

Q: Hello, I need help with #29, evalute the limit.  Thank you.

A: Subtract them using LCD.LCD= tsqrt(1+t)

Q: Use the Squeeze Theorem to show that lim x? cos (Hìnt: cos < 1 = 0

A: We have to find

Q: x? — х - 2 lim х->-1 x? + 3x + 2 X→-1

A:

Q: 2 lim x→1- x²

A: The limit of the function f(x) is obtained as L=limx→a-f(x)L'=limx→a+f(x) Then the limit of the…

Q: h f (x h x + What is the result of limit ? lim h→0 h A: -f (x) B: f'(x) C: 2f'(x) D: E:

A:

Q: How to evaluate the attached limit.

A: The given limit is,

Q: 2x?-8х+7 x 0 x-6x3

A:

Q: กำหนดให้ f(x, y) = xy cos.x x² +3y²

A:

Q: 4e' + 3e-i lim t→∞ 5e' + 2e

A: NOTE: Refresh your page if you can't see any equations. . divide the numerator and denominator by

Q: Describe the three theorems of limit?

A: we have to write the theorem of the limit. Three theorems are given in the next step.

Q: How do you evaluate these using the limit laws?

A:

Q: Determine the value of the following limit and show that it exists. lim (x,y)→(0,0) x2 + y?

A: If left hand limit and right hand limit is equal between the squeezed function then the limit…

Q: (a) If lim f(x) exists then lim f (x)² exists. (TRUE)

A: Given that  limx→cf(x) exists Let us consider limx→cf(x)=L To prove that,  limx→c(f(x))2 also exists

Q: Evaluate the limit. lim ||A||-0 Δ ο Σ. (x - x;) Δx, where i = 1 and Ax = - 1 n where x, = an n…

A: Given,               lim∆→0∑i=1nxi2-xi7∆x,  Where xi=1n and ∆x=1n.

Q: Use a graphing utility to graph the fur 6 sin(r) lim

A:

Q: explain the purpose of a proof by ε, δ definition of a limit.

A: Here I give the geometrical view of definition.

Q: x² 10 - 5 ≤ f(x) ≤ x6-5 x+1 26

A:

Q: How do it find the limit as b approaches 8?

A: Here we need to find the limit value of the given function where b tends to 8.

Q: prove that by using is linear oper aton the limit properties ?

A: A function is a linear operator if it satisfies the following properties: fx+y=fx+fyfcx=cfx We are…

Q: se the Pinching Theorem (section 2. (a) If 7x+2 ≤ f(x) ≤ x² +8, what is t in(-²). (b) Evaluate the…

A: According to new guidelines, we have to solve only 1 question, if there are more than one questions.…