10. Calculate (a) 3 (b) 0 (c) 15 lim x⇒1 (d) 13 (e) does not exist x18 - x3 x5 - 1

Q: 2) Lim 나-13 X+ 1 x=7x+10

A:

Q: (x²+4x-5)¹/2 lim x→1+ (x²-4x+3)

A:

Q: (x³ - 2x2 - 6+3x) 6. Evaluate lim- X-2 x- 2

A: To evaluate:                      limx→2 x3-2x2+3x-6x-2

Q: Evaluate 5x3 – 2x2 +3 lim - 8x + 4x - 1 00 A + 00 5 В 8 c) o D

A: Divide numerator and denominator by x3 and substitute the limit then simplify.

Q: 7. (2x - 1)5 lim x → +∞ (3x² + 2x - 7)(x³ - 9x)

A:

Q: х2 — 2х-15 x2 — х— 20

A: We have to evaluate the following limit: limit as x tends to 5, [(x2 - 2x - 15)/(x2 - x - 20)]

Q: 21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

A:

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

A: Suppose L is limit value of given Limt

Q: (d) 2¹ +5r³ +6r² lim 7--2 r²(x + 1) − 4(x + 1)

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: 2. Find lim 7x+5

A: limx→∞7x+5x2-4x=limx→∞x(7+5x)x2(1-4x)=limx→∞(7+5x)x(1-4x)

Q: x2 - 9 lim X-3 x→3 V – 4 x2+7

A:

Q: 3x* + x 29. lim x² - 8

A:

Q: (e) lim (3x²-x¹ + 1) 818

A: Given Limit,e. limx→∞3x2 - x4 +1

Q: x2 -x-2 lim 12 x- 2x X-2

A:

Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

A:

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

A:

Q: 9x2 lim x+00 x+2

A:

Q: x²+x-2 1. lim X-o 4x-1

A:

Q: If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal?

A: Given limx→02fx-15=45 Find limx→0fx

Q: 8-x3 lim x2 -2x +2

A:

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: (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: 'Зx2 + 8х + 4) lim п--2 х2 + 3x + 2

A: Given query is to find the value of expression at indicated limit.

Q: d) (x+27) -3 X lim-

A:

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: x3/245 (B) Find limyJ+4

A:

Q: lim m 42 -1 t² +1-2 ܐܝ: (b

A:

Q: 4x +2 lim x→∞ x-7 f) Evaluate:

A:

Q: -√√√x² + 1 x2

A: