х2-х-2 с. lim х>-1 х3-2x2—3х

Q: (a) limx➔oo x 3 = oo (b) limx➔-oo x 3 = -oo (c) limx➔-oo x 4 = oo

A: To check limit of x3 as x→∞ To construct a table by taking larger values of x and finding…

Q: Find the limits

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Q: h3 + h² – 8h – 12 2) lim h→3 h³ – 4h² – 3h + 18

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

Q: V1 + t - V1 – t | 25. lim

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Q: V3x - 2 lim tan- %3D x + V3

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Q: I+3 lim z-3 + x- 6

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Q: 1: lim,-0 2x+1

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Q: iz?-z- lim- z2-1 i o -i O 1 0 -1 0

A: Calculation/ Explanation : Let  A = limz→∞i z2 - zz2 -1 Divide numerator and denominator with z2 we…

Q: iz?-z- lim- z2-1 %3D i0 -i O 00

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Q: sin(Va-4) lim -16 16(-1)

A: For any real value of b, the expression, limx→bx is defined aslimx→bx =b . If limx→bf(x)g(x) takes…

Q: |x + 2| lim (x + 3) I--2 x + 2

A: The direction in which the variable x goes helps to find the limit of the given function. If there…

Q: x2 - 5x limx¬0 х3 +х-2

A: Given: limx→∞x2−5xx3+x−2

Q: t2+3t+2 2. lim t--1 t2-t-2

A: To find the limit of the given function

Q: х2—х-2 b. lim х -3 х3-2х2-3х

A: Let’s evaluate the limit  limx→3 x2-x-2x3-2x2-3xlet’s find LHL and RHL if LHL=RHL then the limit…

Q: ()- (T I-1 lim 2x-1 |47–1

A: We have to solve

Q: (a) 5x-3 – 4 (i) Lim: X--0 2x-2 +9 (x- 3)2 (ii) Lim 7- 2x – 3

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Q: (a) 5x-3 - 4 (i) Lim x-+00 2x-2 +9 (x- 3)2 (ii) Lim 7- 2x – 3

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

Q: 2.7h - 1 lim 2.8h 1 lim - and - h 0 h h

A: To see explaintaton

Q: -7x2 + 7x + 2 14) lim x--- -16x2 - 7x +8 14) A) B) 1 D) -

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Q: h 4 (b) Lim h-0 V5h + 4 - 2

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Q: x2+4 lim x→+00 2r-

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Q: -2ln(cosx lim, 0 ,2

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Q: 6xh + 3h2- 5h lim h-0

A: On directly substituting the limit, the indeterminate form 00 will be obtained. So, in such a way…

Q: V9 +h - 3 lim h-0 h

A: Given Data: Limit,   First, multiply and divide with (sqrt(9+h))+3 in the expression of limit and…

Q: z -1- i 2→1+i \ 22 – 2z + 2, 4. Find lim 2.

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Q: (2x+1)²-5 lim =? х-0о 2х2+х-1 30 -1

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Q: lim,-1 f(x) =

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Q: (а) 5x-3 – 4 (i) Lim x-00 2x-2 +9 (х — 3)2 (ii) Lim x-00 x2 7- 2x – 3 2

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Q: x² – 4x lim +-1 г2 — 3х — 4 I-1 x

A: Limit does not exist Explanation is given below...

Q: Vx2-3-2. 7. lim x2 +1 х->-1 Зх -V6 — х 8. lim х->-1 4 + x2

A: (7) We have to evaluate the following limits -  limx→-1x2-3-2x2+1Applying limits i.e. put x = -1 we…

Q: x3-8 lim = 0 %3D х-2 х4—16 FO

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Find the limits

A: To find limitlimh→05h+4−2h

Q: 6xh + 3h2 - 5h lim- h

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Q: 8- 6- y = h(x) y = h(x) -4 -3 2 -2- 2. lim, h(x): 3. lim,→2- h(x): 4. lim,-2+ h(x): 5. limy-2 h(x):…

A: Find the following value from the graph:

Q: I2+10x lim 14 -6x 2+10x lim 14- 6x

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Q:

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Q: 1 1 i] lim 2 1--3 x-2 ii] lim- x-* 2x-6

A: Apply put the limit and solve it

Q: (а) 5x-3 – 4 (i) Lim- x-00 2x-2 +9 (х— 3)2 (ii) Lim X-00 X T- 2x – 3

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Q: 1 3t3+ t2-1 lim t→ 2t-1 2.

A: limt→1213t3+1t2-12t-1

Q: (а) 5x-3 – 4 (i) Lim- x--00 2x-2 +9 (х— 3)2 (iї) Lim X-0 x2 7- 2x – 3 2х —

A: (i) Obtain the limit as follows.…

Q: (а) 5x-3 – 4 (i) Lim X-0 2x-2 + 9 (х — 3)2 (ii) Lim 7- 2x -3 2х — 3

A: to solve the limit proceed as follows…

Q: 5x-3 – 4 (i) Lim: X-00 2x-2 + 9 (x – 3)2 (ii) Lim - 2x- 3 2

A: (i)

Q: 2-9x +20, lim r-4 x- + 2x – 24 2х -24

A: To evaluate the given limit.

Q: 6h 2-lim0 tan4h

A: Given that  the limit is  To evaluate the limit

Q: 1) 2|3x + 9| < 36 x2-2 2) lim х-2 х-3х+2

A: According to question given that :(1)   23x+9&lt;36(2)   limx=2x2-23x+2

Q: 3] x+8 - 2 i lim

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Q: V6 - V5h² + 11h + 6 lim h

A: Given Data: Limit: limh→0-6-5h2+11h+6h Multiply and divide the limit by 6+5h2+11h+6.…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.