x² – 9 (b) lim x→3- x + 3

Q: Vx2+3 lim X-

A: limx→∞x2+3x=limx→∞x2(1+3x2)x=limx→∞x(1+3x2)x                         =limx→∞ (1+3x2)     =1

Q: 2x +3 e that lim x2 + 5x 2

A:

Q: 3) lim (x² + y²)' 1.

A: Given: limx→0y→0x2+y2x

Q: -5x° + x* + 2 – 5x° + x* (a) lim 3x +4x' +1 6. 1/3 X. - (b) lim x>1 x² - 1

A:

Q: e²x-2x-1 x² f(x) = a) lim f(x) x⇒0+

A:

Q: Evaluate

A: To evaluate limx→0 e2x-1xSubstituting x=0 , 00 form is obtained Hence , L' Hospital's rule can be…

Q: x² - x-6 lim x-2 x2 +3x+2

A: L'Hospital Rule: If limx→af(x)g(x)=00      Indeterminant forThenlimx→af(x)g(x)=limx→addxf(x)ddxg(x)…

Q: lim. Vx-1 х2-4) п-20+ \x2-4

A: To find the Value of

Q: x²y Find the lim (x,y)→(0,0) x4+y2 '

A: Find the limit

Q: x-1 lim T→3 x2-4x+3

A: Topic:- Limit  Limit at X ---->3 is does not exist.

Q: 3 lim WrZ_3K -x). x2-3X

A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: 1. Evaluate. x'- 2x +12 a) lim x² +1 x² -8x + 7 b) lim- x-7

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: e7x + e-7x _ 2 lim x → 0 5 x2

A: Evaluate the given limit as follows. limx→0e7x+e-7x-25x2=e70+e-70-2502=1+1-20=00 Since 00 is an…

Q: Evaluate the limit.

A: Given:                     limx→∞e4x-1-4xx2 Dividing the numerator by highest power denominator:…

Q: x2-1 lim x-1 Vx-1

A: The given limit is limx→1x2-1x3-1

Q: x²+x-2 1. lim X-o 4x-1

A:

Q: (a) lim 1+ x2

A: Solving the problem by obtaining the limit.

Q: -x2 – 2x – 4 Calculate lim x o x2 +x - 20

A: Given:  limx→∞-x2-2x-4x2+x-20

Q: x2 -x-6 2. lim -2 x2 -2

A: The given limit expression is limx→-2x2-x-6x2-2.

Q: 4 is x→00 2x2-3 lim A. undefined В. 4 С. 2 D. 0 E. 1

A: To compute the following limit

Q: (2a+1)(x–2) lim x00 (3x-1)(x+2

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

Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x<-2ax+3b,-2≤x≤14x+b,x>1

Q: 3 Find x=x-12 lim. x-7-3 x2+ 8x+15)

A:

Q: V3+x-V3 is limx→0

A:

Q: 2+x (b) lim 1-2-2+x²

A:

Q: Ifp(x)=x2-2x-3 and q(x)=x² - 1, then lim 3p(x) X +1 9(x)

A:

Q: x3 - x2 - 5x lim x-1 - 2 (x + 1)2.

A:

Q: 22-7x 18 lim r -2 x + 2

A: Consider the following limit:…

Q: V3x -V6-x lim x→-1 4+x2

A: Given: limx→-13x-6-x4+x2

Q: Зx2 +2х-5 1. lim x-1 х-1

A:

Q: hg limits exactly. x3+3x2-11x-68 lim x2-7x+12 X4

A:

Q: x-2x x (水) 3t-4 t- lim 4-t

A:

Q: 2x² + x – 1t lim x→-1 x + 1

A:

Q: x - 4x-12 a. lim X--2 x+2 V16-x-4 b. lim X-0

A:

Q: Н.W: 3 lim x*-2x2-8 1-x2 х2-4 3- lim V3x-3 X-3 2- lim (1+x)2-1

A:

Q: Jxi +5 lim + 5 x² -. Q4/ a) Find

A:

Q: lim tkx'-1 k is a constant ト

A:

Q: 2+x a) lim x-22+x²

A:

Q: x2 -x-2 lim n) 2 x2- 2x X-2 x +5 lim X2 x-3 (o

A: according to a guideline we should have been able to do only one question at a time #n #o

Q: Vz - 3 lim z-3 z2- 9

A: We know,  limx→af(x)=f(a) a2-b2=(a-b)*(a+b)

Q: lim Vx2 - 5x +7 3. *2 -6x+1, lim(t1,3 4. *1

A: To evaluate: 3. limx→2x2-5x+74. limx→1-6x+183

Q: a) lim 3x + x2 x→1

A: We are asked to find the limit.

Q: f(x)+7 Find lim x→-2 e3x+6 – 1

A:

Q: x2-6x+9 lim x->3 is equal to: x-3

A:

Q: x2 + 8x + 12 Evaluate the limit: lim x→ - 6 x + 6

A:

Q: x²+9x+20 1. lim x→-4 x²-16 I|

A:

Q: x²+x5-2y lim (xy)-(3,9) %3D x-

A: Given limit lim(x,y)→(3,9)x2+xy-2yx-y