1- Evaluate the limit a-Lim(x/(x-1) – 1/ Inx) b- lim [In(cos(x))]* c- 2-VX²+4 /sin'x x->1+ x >0 x>0 d- lim x+1 /V2x²+x+1 x-0

Q: 1 Use the definition of the derivative as a limit to find f'(x) if f(x)=- V9-x State the domain of…

A:

Q: Find f'a). fix) = Ux? -5x+. f'a)- lim ffith! afla) = lim 4a+h|?-5(ath) +1-(4a? -sa +1) =lim…

A: We have to find derivative

Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: Which will best solve lim *-6x+9, х-3 x-3 O Derivatives O Limits of a function O Indeterminate forms…

A:

Q: lim F(x) where 2x², -1 < x < 1 F(x) = 3 – x, 1<x < 2

A:

Q: How would you denote ƒ' (−1) if ƒ(x) = x² + 3x +2? f(x)-f(-1) x+1 limħ-1 limä→-1 limh→0 limh→0…

A:

Q: S cos (z +1) z<-1 -1<z Let F (x) : e -1 Then lim F (1) =

A:

Q: Let G(z)- sec 0 de for z in [0, 1]. Find G" (z).

A:

Q: anx" + ... + ajx + ao_ with a. >0 and bk > 0, show that brak + 5. If f(x) = lim f(x) = +∞ + b1x + bo…

A:

Q: If g is continuous at a and f (x)=(x² -a' )8(x). fir find f'(a). Hint: Use f'(x1) = lim S(x)-f(x,)…

A:

Q: Given lim f(x) = 8 and lim_ g(x) = 7, evaluate: x → 5 x → 5 lim ( – 5ƒ(x) — 7g(x)) = x → 5 lim…

A:

Q: If f(x)=x3-x+2 find a formula for a. f'(x) b.f''(x) c.f'''(x) d. f(4)(x) (Experts how do I use…

A: given that, f(x)=x3-x+2

Q: Let ƒ be a strictly increasing, continuous function on (a, b). Let A = lim f(x) and B = lim f(x).…

A: Given that, f be a strictly increasing, continuous function on (a, b). A=limx→a+f(x)B=limx→b-f(x)

Q: Evaluate lim f(a) where +25 if x 2 O Limit does not exist 07 O 11 ○ 9 ○ 0

A: The problem is asking us to find the limit of the function f(x) as x approaches 2. The function is…

Q: w do I calculate the following limit without using the L'Hospital's rule

A: In the given question, the concept of Limit is applied. Limit The limit formula is employed to…

Q: Find lim X X1 X-1

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Find the derivate of the functions of at any Use the form f'(c) = lim f(x) - f (c) for a and b X->(…

A:

Q: Consider the function (a) Compute the derivative of f(x) directly from the limit definition.…

A: We will use the given information to solve the given questions

Q: lim [ln(1 + x²) − ln(1 + x)] - X

A: