2x + 1 If t(x) find lim,-o t(x) %3D 8x + 1

Q: 2x*-3x+2x2-x+1 lim -6x-x2+x+2 1 3 O O

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

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Q: ー2 a) lim X >6 (x-6)3 b) lim E) ゼ+t

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Q: 4x lim エ→-0 r2-8z+3

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Q: X-3 lim y→3+ Vx2¬-9 х2-9

A: Find the limit of limx→3+x-3x2-9

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

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Q: x2-4 b) lim (5p) X-2 x-2

A: We will factorise the numerator first

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

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Q: Evaluate

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

Q: x-7 Evaluate lim- +1 Jx-3 - 2 Vx- 3 –

A: Consider the given fraction: limx→7x−7x−3−2Rationalize the…

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

Q: b. lim x->0+ -3/x 2 X²

A: A limit is a value that a function approaches as the input approaches some value. Limits are…

Q: Find the limits in Exercise

A: The limit x→a+ implies x  approaches a from the right. The limit x→a- implies x  approaches a from…

Q: x-1 lim T→3 x2-4x+3

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

Q: H.W 3. lim V3X-3 X - 3 X # 3 X3

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Q: Vx+4-Vx2+x+4 7. lim x-0

A: Explanation and solutions is given below....

Q: 21 x² +4x+3 4. Find lim x→1x -5x+6

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

Q: g(x) lim -2 h(x)

A: Please refer to the image below

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: f(x)- x3-3y 4 t 3x 315 x²† 10x 4+3x315 x†10x lim カー70 Derivation of

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Q: x²+x-2 1. lim X-o 4x-1

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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: 3x+x Q2) Evaluate limy+o 2-8

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Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

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

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Q: x2 +2x+1 x(x+1) limg1

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Q: (-1)*k² 3k 3x+4x +5 lim a x + 6x +7 lim 12 00 k=1

A: Given, limn→∞∑k=1n(-1)kk23k=limx→∞3x3+4x+5a5x3+6x+7

Q: x-2x x (水) 3t-4 t- lim 4-t

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Q: -x²y² lim (x,4)→(0,0) (x³ + y³) e¯ x² + y²

A: Consider the given expression. limx,y→0,0x2+y3x2+y2e−x2y2 Put in the expression y=mx.…

Q: 4x 5e2* – 3e 6e2* + 2e 2. lim -4x x-00

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Q: (a) -4 5x - (i) Lim 2x+9 N (x - 3) (il) Lim - 2x - 3

A: We will answer the first two questions. Please resubmit the other questions separately.

Q: 5x b) lim lim-0 2ln(x+1) ex-e-x c) lim lim-0 2x x2-2x-3 d) lim lim-3 x-5x+6

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Q: limd x²-1 = X- T2+*]

A: Given questions:           Question 1:                                     limx→1+x2-1=?…

Q: 2. x+3-16-11x-x ² Lim X-1 GAMA

A: as per our guidelines, I m solving only one question, please resubmit other questions To find1. lim…

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

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

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

Q: x – 4x Find Lim- x-00 3x3 + 6x A. 00 В. О 2 С. D. olo

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Q: lim (2a +x) X-

A: We find the limit by substitution

Q: 2x -x+3 compute lim ∞ x- 2r +5

A: To compute the limit:  limx→∞2x2-x+3x2-2x+5 Solution: We know that, 1∞=0 Taking out x2 from both…

Q: a) lim 3x + x2 x→1

A: We are asked to find the limit.

Q: Find the limits

A: Find the limits

Q: b. lim X-0* e -3/x 2 X²

A: Please see the attachment

Q: 3 - Vx+4 12. lim X-5 х-5

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Q: Vx+1-2 Find lim X-3 x-3

A: Given: A limit: Substituting x=3 in the limit we get, Since 0/0 is an intermediate form so we can…

Q: x²+9x+20 1. lim x→-4 x²-16 I|

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Q: 2 ] (d) lim x-1Lx-1 x2 -1

A: Topic = Limits

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.