With lim f (x) = +o and lim h(x) = -∞ for any a that x→a' x→a is real number, which of the ff. is true? a. lim[f(x) +h(x)] = 0 x→a' b. lim[f (x) – h(x)] = +o c. lim[f (x) * h(x)] = +o Xa h(x) d. lim =-1 х-а f (x) f(x) е. lim = -1 х--а һ(x)

Q: 3x2 + 1?y? + 3y? + 3z2 3 Show that lim (1,y,2)+(0,0,0) 1² + y? + z²

A: The given rational function is 3x2+x2y2+3y2+3z2x2+y2+z2. Evaluate the limit along the line y=0,z=0.…

Q: 3. Sketch a graph of a function y = f(x) that satisfies all of the following (if possible): а. x-0-…

A:

Q: 2x – 6 X + 3 If f(x) = { x- 3 then the li X 5 X = 3 a. 5 b. 1 С. 2

A: Given for x = 3 , f(x) = 5

Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: 46. lim h→0 (x + h)³ - x³ h bluow

A:

Q: X 19. lim x→1x² + 4

A: To evaluate the following limit.

Q: X lim x→1x² + 4

A:

Q: Evaluate lim (1+x)/x x→0

A: Please see the answer in step 2

Q: h(x) = floor(x) X 5. h(5)= h(x) 6. lim h(x) as x->5 from the left = 7. lim h(x) as x->5 from the…

A:

Q: lim f(x)=-5 f. f'(-3)=0 а. g. f'(-2) is undefined h. f(-1)=2 i. f'(-1)=0 j. f'(3)=0 b. f'(-5) is…

A: When there's no tangent line and thus no derivative at a sharp corner on a function

Q: (込) 6. (d) lim x→3x-3 x² -9

A: Find the limit . Of [1/(x-3) -6/(x2-9)] when x tends to 3

Q: 2x2 + x +7 if x -2 (a) Find lim f(x). x→-2- (b) Find lim f(x). x-2+ (c) Find lim f(x), or show that…

A:

Q: Suppose f(x) and g(x) have the following values: • f(8)= -4 and f'(8)= -6, g(8) 1 and g'(8) = -3. =…

A:

Q: If limz→-14+71i (z² + 28z) = + iy, what is the value of x – y ?

A:

Q: S 1.4x + 0.8, x -2 f(-2) = lim f(x) = x--2- lim f(x) = x--2+ lim f(x) = || x--2

A: E

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: The expression limħ→0 f(a+h)-f(x) gives the slope of the line tangent to a function at the point h…

A: