b. Evaluate lim X0 ex

Q: Evaluate the lim x→0 X

A:

Q: Find lim Itcos 2X メ 니(x- 폰) 2

A:

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: Given limit limx→27 x-27x13-3 We can write the above equation limit as limx→27 x133-33x13-3

Q: Evaluate lim,0

A: We try to find the limit by substitution

Q: Evaluate lim √9-t-3 t-o t

A:

Q: Evaluate lim 1→-4 ( 6 4+x)

A:

Q: If х-+5 lim f(x) = 15, find lim ( 2x – x² /f(x)+ 1 х—5

A:

Q: -1 Evaluate: lim X+0

A:

Q: Evaluate lim x - 4 3 O O 3 1. 4 3 2 3 (2x + 1)² 3x² + 8x - 3

A:

Q: Evaluate lim (x)/

A: We can find the  limit as below.

Q: Evaluate lim x > 3 (x* -2x + 1)²

A:

Q: Evaluate lim x + Væ² - x" + 2x

A:

Q: - a) Evaluate lim x- - 2 3 + x x + 2 2.

A: First solve then apply limit

Q: is lim (x – 1) csc TX x→1 :Select one 1 .b - T.C 1 - .d

A:

Q: Find the IImit: X – 3 lim x→9 x-9 X -

A:

Q: evaluate using substitution.

A: Limits by substitiution method is the simplest method to find out limit. In this we just need to…

Q: evaluate lim f(x)- I-5

A: Given: The graph is as follows

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A:

Q: Evaluate lim (tan-(t),e-2t,m²). t-1

A: We want to find given integral.

Q: Find lim x → 0  ((1/x+7)-(1/7))/x

A: First, simplify the numerator using LCD.…

Q: Evaluate using substitution.

A: To evaluate: limx→4x-52 Solution: Given,limx→4x-52 The given limit is not in indeterminate form, so…

Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

A: To find the limit of an expression we have to write the expression in its simplest form and  we need…

Q: . lima 9(x) = 0 if and only if limx→a g(x) = 0.

A:

Q: Evaluate: lim (x² + €¯²) (x²¹ cscx) I→0+

A: We will evaluate the given expression using DL hospital rule.

Q: Зх— 6 Find Lim x-2 x? - 4

A: We have to find:  limx→2 3x-6x2-4

Q: Evaluate -5x lim,→0 tan x O -5 O 1 O 5

A:

Q: Evaluate using substitution.

A: limx→310x2-2x

Q: Evaluate using substitution.

A: To find limx→2x3+4x Substitute x = 2 in x3+4x                    limx→2x3+4x=23+4(2)…

Q: メ Evaluate Iimit. lim x- 4x +1

A: I have Rationalised the expression and used the limit

Q: Evaluate: lim (1 + 2* + 3* + ... + 99t)¹/x X→∞

A:

Q: Evaluate: lim x→-1 x² + 2x + 1

A: Limit: Limit is a mathematical concept based on the concept of proximity that is used to give values…

Q: b) Evaluate L = lim (2x?

A:

Q: Evaluate lim,0 x+1 O 1 O 2

A:

Q: ( ) Evaluate L = lim x+ Vx² + 1 r -00

A:

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: Given

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: Evaluate lim (r+ 2) cot(²+5x+ 6). 2+-2+

A:

Q: 4. Evaluate lim x-7 x-7

A: Given: limx-7x+9-4x-7

Q: Determine whether the statement is trrue or false. lim (x+ 4x 5 2+ 4x - 5 = lim (2x-4) 1x+3x - 4 lim…

A:

Q: Evaluate lim (e – 2x) -

A:

Q: Evaluate lim x→1+ (x+8/x+4)

A:

Q: Find lim Vx-1 メー メーラ →o

A:

Q: Evaluate using substitution. lim x - 5/2x→ 4

A: Since, we have to evaluate the function using substitution given below:-limx→4(x)-52  -(i)

Q: Evaluate lim(x→-∞)⁡ (5x- (2/(x+3)))

A: SolutionGivnlimx→-∞ 5x-2x+3

Q: Evaluate using substitution. lim tan(3x) x→ π/4

A: Given: limx→π4 tan 3x To evaluate: The value of the limit.

Q: Evaluate lim x Inx². x→0+

A: We have to find the limit.                                   limx→0+xlnx2

Q: If lim x) - 2 x-1 x - 1 DNE lim f(x). = 7, evaluate

A:

Q: Evaluate lim is O -1/2 O 1

A: Given limx→2x2-4x2+4