Q1/ Find the following 1. lim + 2 = 3 X00 X 2. lim(5x - 4 + )

Q: O Find Lim メー→2 2- (2X 2- x X +2

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

Q: Find the value of -1 tan (5x) lim- X

A:

Q: lim(1 + 3x)²/x x→0

A: Concept if limx→0f(x) = 1    and limx→∞g(x) = ∞ then the limx→0f(x)g(x)  = elimx→0[f(x) -1][g(x)]…

Q: 2. lim x = 25 ニ

A:

Q: Find the following: x+/3 + 9x/5 (2х — 1)4/2 — 3 i. Lim- X-0 6x/2 – 4x'/4 ii. Lim x→5+ х — 5

A: we are solving only part (a) of the question because it contains super subparts. Please upload the…

Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

A:

Q: 2. Find lim 7x+5

A: limx→∞7x+5x2-4x=limx→∞x(7+5x)x2(1-4x)=limx→∞(7+5x)x(1-4x)

Q: Q: find lim \-c०s2 2->০

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Q: 2V피+T-3 lim x-1

A:

Q: If √5 − 2x^2 ≤ g(x) ≤ √5 − x^2 for −1 ≤ x ≤ 1, find limx→0 g(x)

A:

Q: If 7-6x2 sf(x)s 7-x² for -1sxs 1, find lim f(x). X→0 lim f(x) =

A: If 7-6x2≤f(x)≤7-x2 for -1≤x≤1, we have to find limx→0f(x)

Q: Evaluate in terms of the constant a. lim (2a + x) x→ 0

A: To Determine:  Evaluate in terms of the constant a.…

Q: If limz - - 19+561 (z² + 38z) = x + iy, what is the value of x - y ?

A:

Q: 5- V4 +3x (3) lim ズ→7 7- x

A: The given function is limx→75-4+3x7-x

Q: lim (4x – V16x² + 3x – 5 (4* Зх — 5 00-x

A:

Q: Find 2-Vx2-5 lim X-1 x+3

A:

Q: find Vx+4--x-2 1- lim --3 x+3

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Find the following: x+/3 + 9x+/5 i. Lim- x-0 6x1/2 – 4x1/4

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Solve for the lim[e* + x]%. x00

A: Given,           limx→∞ex+x1x

Q: Use I'hospials rule to fidy value lim (4“ +7*)= X¬00

A: Please see the explanation below

Q: Find the following 1 I – 6 (a) lim I4- 4 -I (b) lim -3 27 - r (c) lim -6 (x – 6)6

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Q: De nty. lim Bx+5 6+X6-

A:

Q: lim (x – 4)

A: Given:           limx→41x-12x-4 Simplify: 1x-12 Cross multiply:               =2-x2x Simplify: x-4…

Q: Find the following: x+/3 + 9x/5 (2х — 1)1/2 — 3 - i. Lim- x-0 6x1/2 – 4x1/4 ii. Lim x→5+ х — 5

A: a)

Q: If 5-4x sf(x)s5-x for - 1<xs1, find lim f(x), lim f(x)%= f(x) =D

A:

Q: If 3x – 2 s f(x) < x² - 3x + 7 for x 2 0, find lim f(x). X3

A: 3x-2≤f(x)≤x2-3x+7

Q: f-x² + 10x - 25 < g(x) < a² - < 10x + 25 for 4 <x 6, evaluate lim, →5 9(x).

A:

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: Suppose that limx→ -2 p(x) = 4, limx→ -2 r(x) = 0, andlimx→ -2 s(x) = -3. Find lim x→ -2 (-4p(x) +…

A: Given limx→-2p(x)=-4 , limx→-2r(x)=0 and limx→-2s(x)=-3We need to find:limx→-2-4p(x)+5r(x)s(x)

Q: Find the following: x1/3 + 9x1/5 (2х — 1)1/2 — 3 - i. Lim 6x1/2 – 4x1/4 ii. Lim x→5+ х — 5

A:

Q: Find the following: x'/3 + 9x1/5 i. Lim -о бх1/2 — (2х — 1)1/2 — 3 - 4x1/4 ii. Lim x→5+ х— 5

A: the limit is in 0/0 format,so we can use the L'Hospital's rule

Q: Find the following: x1/3 + 9x1/5 i. Lim х-0 6х1/2 — 4х1/4 ii. Lim х+5+ (2х — 1)1/2 — 3 х — 5

A:

Q: x-3x-2 limx--1 х+1 ||

A:

Q: Find the following: x1/3 + 9x+/5 х-о бх1/2 — 4x1/4 (2х — 1)1/2 — 3 ii. Lim х — 5 i. Lim х-5+

A: i. Here limit is,

Q: 2x-√5+4x lim x→6 x-3

A: The given limit is limx→62x-5+4xx-3

Q: . Find limx→0 x 3 + 2x − 4/x+1

A: The given limit is

Q: Solve for the lim (x )tan(, ) -

A:

Q: if Væ² – 5x – 6 < f(x) – 1 < v6² – x² then find lim f (x) - | - x-6

A: Given:x2 - 5x -6  ≤ f(x) -1 ≤ 62 - x2To find : limx→6f(x)

Q: Suppose that limx→2[f(x)+x2]=α. Find  limx→1(x+1)f(2x)

A:

Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

Q: Lim 4x+2

A:

Q: V25+x -5 4-limx-0

A: At first, put x =0 and find the answer, if it results in indeterminate form then use the L'hospitals…

Q: If /6 – 5x2 sf(x)sV6-x² for - 1sxs1, find lim f(x). N6-5x² lim f(x) = X→0 (Type an exact answer,…

A: Solve by taking limit both side

Q: 10. lim is X-- А. со B. -00 С. -1 D. 1

A:

Q: x2-3x-2 limx--1 х+1

A:

Q: Q2: Use lim x 0 and lim x 0 to show that lim x = 0.

A:

Q: 2f(x) + 3x – х — 1 15 - Suppose that lim 5. Find lim f(x).|

A:

Q: -4 lim x2 1- COSTX

A:

Q: Find the following: x/3 + 9x/5 *-о бх1/2 — 4x1/4 (2х — 1)1/2 — 3 х — 5 ii. Lim i. Lim

A: i. Consider

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.