Solve step by step in digital fe 6x - 1 a) lím x→ 1/ 2x - 6 b) lím X-00 x² - 9

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: 2) Lim 나-13 X+ 1 x=7x+10

A:

Q: 10x3-8x4+2x3 2 2 X→0 15x4+3x3-5x Evaluate Lim

A: We need to find the given limit limx→010x43-8x34+2x2315x24+3x23-5x

Q: limx→∞x3+26x2−x=

A:

Q: 5 Lim 34 +7 y?_2

A:

Q: x2 + 5 2. lim 9x4+2x+4

A: limx->∞x2+59x4+2x+4

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: xª + x³ – 2x +1 Find lim 00 214 — Зх3 + 5x2 + 1'

A:

Q: lim (-In x) : 1|

A: Property of limit: limx→akfx=klimx→afx Calculation: The limit can be obtain by using the above…

Q: lim V8+X -2

A:

Q: 5x' +8x² lim x→0 3x* – 16 r? 3

A: Cancel out the common factor from numerator and denominator than put the x and calculate limit.

Q: Find the derivitive and show each step f(x) = 5/ (2x-3)^4 y = -6e^12x

A:

Q: 2-4x3 3. lim X→0- 5x²+3x³

A: To evaluate: limx→0-2-4x35x2+3x3

Q: lim (4x2 + 2x + 5) = 5x→0

A: We will plug x=0 in place of x

Q: sec x)^2 - 1

A:

Q: limx→1 10x−9x−10(x2−1)

A: Given,             limx→110x-9x-10x2-1

Q: (d) lim LI-IX √x²+2x+1 x² - 1

A:

Q: 4х+2 1. lim 9x² -3 2

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Q: 4x lim *-3 2- V2х + 3

A:

Q: Find Lim 5e*²-2x

A:

Q: -limx¬o 6x cot3x

A: Explanation of the solution is given below...

Q: Vx²+1 +5x lim 2x+3 X→ -0 -1 3 1 2 1 2

A:

Q: d) lim √x²+x-3 - 2x

A: given limit

Q: find@lim 3X+1 メー→0 lim 2x+ 5

A: We use the property of limit to answer the given question.

Q: The park's wolf population in year t is given by the expression W(t)=-4(t-4.5)^2+400. Determine the…

A:

Q: If f(x) = 3x- x^2+2, find the value of: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f(3/2)

A: Given: fx=3x-x2+2 To find: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f32

Q: lim 3X=12x→4

A: We can show this by substitution  We plug x=4

Q: Calculate limx→∞x3+3x+52x3−6x+1.

A: We have to calculatelimx→∞x3+3x+52x3-6x+1

Q: 1. lim 2x+1 2. lim x→3 ズ-3 x-1 ミ- キ* さ

A:

Q: -2x-4 =? x-2 r3 + 2x2. lim

A: We have to find the limit.

Q: lim (5x + 2) = 17x→3

A: We will find the limit by substitution

Q: Lim 5火 +3 X-> 2Xー1

A: Here we have to find the limit value.

Q: lim (1 – 3x² )= x-2 а. -13 b. 11 С. 13 d. -11

A: By the linearity of limit of a function we can solve the given problem

Q: Lin yメー5x +! 2 Fired -2x+4

A: