x-1 (i) lim X→1 vx+3 -2

Q: (х-а) 2. lim Vx-Va X→a

A:

Q: [x2+3x-1 a. lim 1 6 b. lim X+2 Lx-2 x2+2x-8 E. lim - h-0 h x+h Vx+h-Vx d. lim x >0 h-0 h

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: lim x+0 V1 + 3x – 1

A: SOLUTION-

Q: e²x-2x-1 x² f(x) = a) lim f(x) x⇒0+

A:

Q: Evaluate

A: To evaluate limx→0 e2x-1xSubstituting x=0 , 00 form is obtained Hence , L' Hospital's rule can be…

Q: Vx +1 vx+3 lim det Vx +1

A:

Q: 2x lim x→0 Vx + 1 – 1

A: Given limit expression is limx→02xx+1-1.

Q: b. lim x->0+ -3/x 2 X²

A: A limit is a value that a function approaches as the input approaches some value. Limits are…

Q: 2x -cos(2x)- 2x - (b) lim | x2

A:

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

A: To find the limit of the given function

Q: e7x + e-7x _ 2 lim x → 0 5 x2

A: Evaluate the given limit as follows. limx→0e7x+e-7x-25x2=e70+e-70-2502=1+1-20=00 Since 00 is an…

Q: x2-1 lim x-1 Vx-1

A: The given limit is limx→1x2-1x3-1

Q: x t 4x +3 x- x -2 f(x): 1 [x +3] 17X71- x 2 1 lim f(x) f(x) lim x-> 2

A:

Q: + h 4 (a) Lim×-1'x+1 X (b) Lim h→0 V5h + 4 – 2 -2 - t3 – 1 3. (c) Lim t-1 t-1 II

A: To show the given limits, we use the algebraic indentity and rationalization of a fraction.

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: Vx+1- /2x x² - x 2х f ) lim x→1

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

Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

Q: lim zx+xて Xー→3 メ-3

A: Apply L hospital rule

Q: Find the limits in Exercise

A: limx22-1x

Q: b) lim sin(x² – 4) х* -16 2х - 3 а) lim %3D V3x² +16 x->2 X->-0

A:

Q: (b) lim (1+ x)* x→0+

A: Given

Q: d. lim f(x) x+3, x1

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: X-4y lim (x, y)- (0,0) 6y+7x

A: limx,y→0,0x-4y6y+7x Take the path y=mx, then as x→0, y→0 limx→ox-4mx6mx+7x limx→ox1-4mx6m+7…

Q: (-x² – 6x–10 xs-2 1. lim g(x), where g(x)={ x>-2

A:

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

A:

Q: x-2x x (水) 3t-4 t- lim 4-t

A:

Q: 2. メー gu)= - fex) = X üls Is1 3メ-1 احب lim (fog) x メー

A: We have to find limit

Q: lim, (V+x+1 - V+1) – Vx² x* + 1

A:

Q: x² – 4x lim +-1 г2 — 3х — 4 I-1 x

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

Q: -xy اس3: أحسب lim (x,y)→(0,0) x²+y2

A:

Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

Q: lim = e7x- e6x/ex-1 x>0

A:

Q: f(x) = 6x² - 3x %3D f(1+h)-f(1) lim ん h→0

A:

Q: 7 lim 『ストフ-2 X + 3 メy-3-

A:

Q: Jx-2 %3D F(x) x²+x-6 Does lim F(x) exist? x-2

A:

Q: 2x -x+3 compute lim ∞ x- 2r +5

A: To compute the limit:  limx→∞2x2-x+3x2-2x+5 Solution: We know that, 1∞=0 Taking out x2 from both…

Q: x3 – 11x lim x→0 x V5x+11

A: Consider the limit limx→0x3−11xx5x+11

Q: 1. lim f(x) where flx) = (-3x + 8 if x -2

A: Use limit condition.

Q: x2 – 4 lim h→2 Vx – V2 /9 + h – 9 - lim h→0 h

A:

Q: f(x)-f(xo) f'(x) = lim 2. f(x) = x2-5x + 6 3. f(x) = Vx + 6 at x = 2 at x = 3

A:

Q: x² yey lim(x,y)→(0,0) x4 + x + y²

A: To evaluate the following limit.limx, y→0, 0 x2yeyx4+x+y4

Q: x²+x5-2y lim (xy)-(3,9) %3D x-

A: Given limit lim(x,y)→(3,9)x2+xy-2yx-y

Q: 2 ] (d) lim x-1Lx-1 x2 -1

A: Topic = Limits

Q: х — 1 lim x→1+ Vx + 2

A: Here we need to find the right hand limit only.To find the required limit substitute the variable…

Q: -2x - 4 f) lim x--2 x + 2x ut | g) lim u-1 u3 1 4х — х2 h) lim x-4 2 - Vx Ya

A: As per our guideline we are supposed to answer only first three subparts. Kindly repost other parts.…

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.