Show algebraically that lim 818 2 x² - 2 - x = 0.

Q: find lim ( 3x2 -2x -1) X --> -1

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Q: sec 2X find the lim

A: To evaluate the limit: limx→0sec2x3x csc2x Solution: We know that, cscθ=1sinθ limx→0sinaxax=1…

Q: OLVE STEP BY STEP IN DIGITAL ORMAT Lim 818 (1 + 2/2 ) *

A: The given limit is Lets use the method of Taylor's expansion.

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 and lim x+ 2 2x + [2x] x²+x-2

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Q: lim x→2- 2 (1₁ 3 1² 8 x³8 x-2/

A: Given;  limx-2-[1/(x3-8) -2/(x-2) ].

Q: X 2 +2 x-2 3. Find lim 4. Prove that lim(2x² +1)=3

A: Dear student,                       According to our guidelines we are supposed to answer only first…

Q: 6. Find the lim (x²-3)³ (x³ + 2)²x

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Q: Evaluate, lim                            (x3+8/x+2) x-->-2

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Q: Lim 2x3 In x

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Q: 6-x-1 X-5 √9-x-2 Evaluate lim

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Q: (1 + +)" =- 65. lim

A: To show: limn→∞1+1nn=e

Q: EVALUATE : 1-COS2(X - 2) LIM X-2 X - 2

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Q: Clearly illustrate with explanations why lim 10D *→00 80,012 #100

A: We have to show that limx→∞x100e0.01x≠100 We can see that limx→∞x100e0.01x is of the form ∞∞ Apply…

Q: Evaluate lim x→0+ x3sinx

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Q: find Hhe fimih lim 28 X-8

A: Given: limx→8 x-7-1x-8 On applying the limit we get an indeterminate form of type 00

Q: Find a real number b such that x²-6x+5 26 lim x-5

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Q: X Is 10g 0= lim 10 X7-00 7

A: Is log0=limx→-∞10x ?

Q: mit. 3x(x-4) lim x- 4| X4"

A:

Q: b. Evaluate lim X0 ex

A: Given limit is : limx→0xex  To find the value of the limit.

Q: Evaluate lim (Hint: x – 1 = 1Vx2³ - 1³.) xSi x - 1

A: Here given limit L=limx→1x3-1x-1