5. Calculate lim f(x), where x+1+ (a) 3 (b) 1 f(x) = (c) -2 (d) 2 (e) does not exist 5A 5B 4-x -2 x² - 1 x-1 5C if x < 1 if x = 1 if x > 1 5D 5E

Q: # 3) lim (2x - 4x2 - 5x+6) X→-3

A:

Q: The limit when x approaches to 5 of a polynomial f(x) is f(-5)

A: Given The limit when x approaches to 5 of a polynomial f(x) is f(-5)

Q: Find lim f(x) if I-00 4x - 1 I 5.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

A:

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

A:

Q: xV1-3x lim | V1-4x3 I-00 %3D

A: Suppose L is limit value of given Limt

Q: /1+x-1 lim 1-0 V4 - a - v4- x2

A:

Q: (b) lim x→91 0. Vx+9-3 x

A:

Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

A:

Q: 25) Find: lim,(x²+ax - √x² + bx).

A:

Q: x2-4 lim x--2 x2+4x+4

A: In this question, we have to find the limit of a function which is of the form 0/0.

Q: ; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

A:

Q: 3x2 (b) lim х30 х+1-ех

A:

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

A:

Q: 19. Evaluate lim (x³ + 2x2 – 3x – 4). x-1

A: Evaluate limx→-1(x3+2x2-3x-4)

Q: f(x) If f(x) = 3x? + 4x +1 and g(x) = x² - 2x - 3, then what is lim *19(x)

A:

Q: B: Find y + 4 lim (x1)-(24) x²y-xy + 4x² - 4x

A:

Q: 4. Find lim (x² – 9)/(x² – 8x + 15)

A: To find the limit of given function.

Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: (d) lim 1-x-x² x-∞ 2x³ - 3x + 1

A: In this question, we want to evaluate the limit of the given expression.

Q: Evaluate lim f(x), f(x) = (3x² + 5x − 1, (7x² - 2x - 3, x ≤ 2 x > 2

A: Topic:-  limit and continuity

Q: As x→ 2+, x? and x2 · 4 → x2 So the lim x → 2+ 4 Therefore, the line x = is a vertical asymptote.

A: Solve the following

Q: if f(2) = 4 f(2) = 1 Then Xf(2)-2г (х). X- 2 lim x-2

A:

Q: 5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

A: We have to find limx→∞fx for a fx=x4-35x4b fx=6x4-33x3c fx=2x3-93x5 Since all above limit has ∞∞…

Q: Find lim h→0 lim h0 f(3+h)-f(3) h f(3+h)-f(3) h - if f(x)=x² +8. (Simplify your answer.)

A: To find the limit limh→0f(3+h)−f(3)h for the given function f(x)=x2+8, let's substitute the function…