3. (a) Find the coefficient of the x term in the binomial expansion of (1+ x)°. (b) Find lim(x + 3)(r² – 5). (c) Find the minimum value of f(x) = x + 2x -6 1. Find the minimum value of the function f(x) = -2r -x + 5 and the value of x it 2. Find the maximum value of the function f(x) = x+ 2x - 3 and the value of x it occurs occurs. curs.

Q: 3n Find lim,→0 (1+ )'

A: Here,

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A:

Q: 4x5+x³ -10 -? lim х-0о —7х5+x2+20 .3

A: Given: limx→∞4x5+x3-10-7x5+x2+20

Q: Suppose f(8) = 6 and f'(8) = 4. Find the following. ef (x) - e6 lim 18 x² - 4x - 32 || ef(z)-6-f(x)…

A: f(8)=6 and f'(8)=4 Find limx-8[ef(x)-e6]/(x2-4x-32)  Limx-8[ef(x)-6-f(x)+5]/(x2+16x+64)

Q: .2 x # 2 6. Let f(x) ={x+2 (k x = 2 Find the value of k so thatf(-2) = lim ƒ (x). %3|

A:

Q: E sint Lim

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: (c). lim 40+ (--) tanz

A: Limx-0+ (1/x)tanxFind the limit.

Q: lim x16 x → 0 x2 – 2sinx +2x O 272 O 240 о 1

A: we will solve this using L'Hospitals rule.

Q: Find lim (18 - y)2/3 y→ - 9 lim (18 – y)?/3- y→- 9 (Simplify your answer.) %3D

A:

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A:

Q: limx→00 x3 lim,- is x.

A: Limits

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A:

Q: lim =√x² - 2x + 5 X→-2 lim x→2 (5(x² − 1)² – 10)

A: To find out the limits

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A: Given that: limx→31x-13x2-9

Q: (b) lim In(5x2 +3) – In(2r² + 1). -

A: Given :

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A: Given ,   limx→af(x) = 3   ; limx→ag(x) = 3

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

A: To find the limit of given function.

Q: (4+ 43) (x + 43) -(16 + 43)x limy→ -43 limx. x + 43

A:

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

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A: We can make it easier for you

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A: Given that: limx→64x2/3-16x-8

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A: To evaluate the given limit

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A:

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A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: (b) Prove that lim n! (2) = 0.

A:

Q: lim In(10x) x-0t

A: To find the below right-hand limit.

Q: lim(z+z¬1) z + z¬1) ze

A: Every complex number can be written in the polar form as z=x+iyOR z=reiθ=rcosθ+i sinθwhere r=x2+y2…

Q: 2. Find lim n→∞ N (e-(a/n) - (2a/n) + e -(3a/n) + e + . e-(na/n)).

A: To find the following limit.

Q: 2 (x2+3) – 3 1- lim, 0 x2

A: To find limx → 0 x2 + 3 - 3x22

Q: x² – 2x O lim x→2- x2 – 4x +4

A: