lim, S(x), given 7-4x. x < 1 S(x) = { %3D x² + 2 x 21

Q: Vx- 3 - 3 6. Find lim x→12 X-12 %3D

A: Given limit is  Firstly, we will multiply both numerator and denominator by sqrt(x-3)+3

Q: (x²+4x-5)¹/2 lim x→1+ (x²-4x+3)

A:

Q: 42t lim t+0 4 - 1 - 1

A:

Q: 1. lim 2x

A:

Q: lim x→0 5x² + 3x² + 1 X =

A:

Q: Find limx-&gt;∞,if for all x&gt;5

A: We apply limx-&gt;∞ on all sides.

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

A:

Q: Please

A: We find f(x+3) and f(x-1) first by plugging (x+3) and (x-1) in place of x in f(x) respectively.

Q: lim

A: We have to evaluate the following limit: Limit as x tends to -infinity (2x + 1)/[sqrt {7x^2 - x +…

Q: lim (412 + 8t – 5)3/2 t- 2.

A:

Q: x-1 lim T→3 x2-4x+3

A: Topic:- Limit  Limit at X ----&gt;3 is does not exist.

Q: 8x2-3 lim x→00 V 2x2+x

A:

Q: 3x2 (b) lim х30 х+1-ех

A:

Q: t -9 9. lim- -3 2t +7t+3 1 1 11. lim x-3

A: 9) limt→-3t2-92t2+7t+3=limt→-3(t-3)(t+3)(2t+1)(t+3)=limt→-3t-32t+1=-3-32(-3)+1=-6-5=65

Q: 2x² +1 lim х* + 6х—4 2 x→2 х->2

A: limit = ?

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

A:

Q: lim x X49

A: As we know that: limx→afx=fa Given: limx→ 49x

Q: √x-10 lim x-100 x-100 lim x→4 2 x² - 2x-8 x² -16

A:

Q: x2 – 10x + 16 Calculate lim x→2 x2 – x - 2

A: Answer is  -2

Q: (2x- 1)1/2 – 3 Lim X-5

A:

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

A: To find out the limits

Q: lim X→+∞ 5 In³ x 2 X²

A: Let's evaluate limit.

Q: x2 + 6х + 5 lim х— -1 х — Зх -4

A: Given,          limx→-1x2+6x+5x2-3x-4

Q: lim ス-1 x3 メ42x -3 メ+3

A: Let the function fx = 2-x+3x2+2x-3            we need to find out limx→1 fx = limx→1 2-x+3x2+2x-3 If…

Q: -4x lim Vx²-1

A: To determine the value of the limit.

Q: 1– x2 lim r--00 3 + 2x – x3

A:

Q: x-2x x (水) 3t-4 t- lim 4-t

A:

Q: ..... ..... If a and b are constants and lim asin(4x)-btan(8x) 3, x → 0 4xcos x+8sin(12x) then a-2b=

A: Solution is given below:

Q: x - 27 lim x 7x + 4

A:

Q: (XthP+| lim 4.

A:

Q: 7 (1+ lim *|の

A:

Q: Vx2 + x lim x + 1

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.