lim (nx{n(x -1)=? Use L'Hospital's Rule

Q: lim x→-0.5- Vx + 1

A:

Q: 7) lim (Ln(x) – x) X→∞

A:

Q: lim_(x->1^(-))f(x)={x^(3)+9,x<1}

A: To find: limx→1-f(x)where f(x)=x3+9, x&lt;1. Calculation: We need to find the left hand limit of x=1…

Q: 1- V1– x2 с) lim x→0 [without using l'Hospital Rule] x2 -1- x – a? d lim x→0

A:

Q: lim tangx X->즐 (쫄-x n2.

A: Given: limx→π2tan2xπ2-x 00 form If limx→afxg(x) is of the form 00, then we use L'Hospital's rule.…

Q: lim                                          (9x/(9x+8))^9x x approaches  infinity using…

A: Given, We have to calculate the limit.

Q: lim x approaches 2 (-x^2 + 5x - 2)

A: Given, limx→2-x2+5x-2 To solve the above limit.

Q: lim x approaches 2 .............. 2x + 5/[11 - x^3]

A: here we have to find the limit.  A=limx→22x+511-x3

Q: 1) lim (2x – 3) = 1 x-2 2) lim|x| = 0 x²-9 3) lim х-з х-3 9 3

A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

Q: 7 arctan(x) Calculate lim 0 x3 + 6x

A:

Q: lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0

A: Answer

Q: Lim x approaches to - infinity (5-1/x)

A:

Q: 9. lim- x→0 3 - Vx+9

A: we use l hospital rule to evaluate the limit.

Q: lim     ln(2x4+8x)-ln(5x3+7) x → ∞

A: Topic:- limits

Q: lim х-0 Arcsin x II

A:

Q: lim x to (0) cosecx - cotx

A: Find the limit as follows:

Q: lim- x-0 X

A: Given :limx→05x

Q: e- lim x-3 x2-9 V3x-3 ,x + 3

A:

Q: eax lim x → 0 In(1+ bx) -ах e

A:

Q: lim 1/x^2 - 1 = infinity x--> 1+, M = 1000, find largest δ > 0

A: Use the definition of limit

Q: f (x+h)- f(x) 7x3-2x-1 Using lim-0 Find the slope of the tangent line y 5x+2 h at x = -1.

A:

Q: lim{x arctan x 2 }=?

A:

Q: 2) lim-(x-) ta tan x

A:

Q: lim x approaches 5  ........ x - 5/[ x2 - 25]

A: Limit of the function is value that function seems to approach as x approaches certain value.

Q: lim x approaches 1  .... [(x^-1) - 1]/(x -1)

A: Consider a limit limx→afxgx. The conventional evaluation of the limit sometimes lead to…

Q: Evaluate the limit: limx->0 (sin x)3/ln x

A:

Q: d- lim x+1 /V2x²+x+1

A: First take x common and then use l hospital's rule to find the answer.

Q: x - sin x 2. Find lim x - 0 x - tan x

A:

Q: lim lnxln(x-1) = ? Use L'Hospital's Rule

A: Given limit:

Q: general question on why is the lim of x approaches positive infinity of ekx /xn =infinity and lim of…

A: (A)Firstly, we will plug x=inf we will get inf/inf So, we can use L'hospital rule

Q: lim (lnx/x1/2 - 1/x)  ? x--&gt;infinity

A:

Q: lim x approaches 0 (e3x-3x-1)/x2

A:

Q: lim メ→02-V4+x Calculate

A: We have to find the limit of the given function.

Q: Inx lim X+o x3 lim- x-0 ex - x2 - 1 lim- 0 sin'3x

A:

Q: Evaluate

A: The limit of a function at a point is the value the function tends to as x tends to that point. For…

Q: limit of x to infinity Square root(x^2-2x+1)-x

A:

Q: 3) lim Lnx .tanx x-0+

A: Use lim sinx/x and L'Hospital law .

Q: lim.                          x^5 x --> - infinity

A:

Q: Find the limit  lim x-->infinity:  1/2x + sinx

A:

Q: Find the limit

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Q: f -3 -2 -1 -2 -3 2.

A:

Q: (x-x) ーズ) 13. lim EX

A:

Q: lim lnxln(x-1)=? Use L'Hospital's Rule

A:

Q: lim 3^x = 0 x--> -infinity, ε = 1/2, find smallest-magnitude N <

A: Use the definition of limit

Q: lim ln (x ") 14 6x

A: Given : limx→∞lnx146x

Q: +lim x-0 e -x - 8x ex - e x - sin x

A:

Q: \lim_(x->-\infty )(x^(2)+ x - 5)/(1-2x-x^(3))

A:

Q: lim cosx x-0 x2-x+3 1-Vx-6 lim X-7 x-7

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.