Putting V(x) = e¯*U(e*) show that 1 lim sup | V(x)| = lim sup |V(s)|ds. x00

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

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Q: Let f be the function given by f(x) = (x² – 2x – 1)e*. Find lim f(x) and lim f(x).

A: We need to eliminate (if possible) then apply limits

Q: lim2

A: Explained below

Q: CONSIDER THE FOLLOWING FUNCTIONS. f22x+1 AiD gca)= xー1 a) DE TERMINE jG&) =f(x)• g(x) Lim…

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Q: IF FLX)= and Lim F(X)6 F(-)=2 b X<l Find a,b when X#0

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Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

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Q: Compute lim(Vx²+x – x

A: Given,  limx→∞x2+x - x   We have to compute the limit.

Q: Lm x+h -区 メ+h -x , h#o.

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Q: -2x² + x 41. g(x) y 3 - 1 -2 - 1 (a) lim g(x) (b) lim g(x) *→-' 1.

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Does limx → -1+ ƒ(x) = ƒ(-1)?

A: From the graph we see that at x=-1 there is a closed circle and the graph is right continuous at…

Q: Does limx →-1+ ƒ(x) exist?

A: x →-1+ means on the right side of x=-1 From the graph, we see that as the graph approaches -1 from…

Q: If f(x)=x2−9x−3 , what is limx→3+x2−9x−3 , limx→3−x2−9x−3, and f(3) ?   Is f(x) continuous at 3?

A: Given,              f(x) = x2 − 9x − 3

Q: Ex x-2 XE3, X-2 12) Consider メレ3 2) lim. (f(x) b) lim. (f(x)

A: Topic:- limit

Q: f(x+h)-f(x) vi) lim h→0 where f(x) h

A: That's easy. Thumb up. Have a good day!!!

Q: x3 - 1 (x + 1)2 Let f (x) = Find lim f(x)? | x² - 5x + 4 x² + 1 X-1

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Q: Is there a function f such that limx→1 f(x) = 0 and limx→1 f(x) (x-1)³ = -∞?

A: To find:- A function f such that limx→1fx=0 and limx→1 fxx-13=-∞

Q: If f(x) = 5x² − 5x + 31, evaluate lim_f(9 + h) − f(9) h→0 h If an answer does not exist, enter DNE.

A: given

Q: Find lim x+x:

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Q: let H(x)(1+x^2)^3. find f and g such that f(g(x))=H(x)

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Q: For the function f(x): 6x2 + 16x + 29, find f'(x) using the definition lim h>0 f(z+h)-f(z) O 6x + 16…

A: Need to find derivative of f(x)

Q: 3x(x - : lim Tx - 1| X1+

A: Replace the value of the limit and x.