Find limx→2−  f(x) Find limx→2+  f(x) Find limx→2  f(x) Find f(2)

Q: evaluate the limit.

A: Given:

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: (a) limx➔oo x 3 = oo (b) limx➔-oo x 3 = -oo (c) limx➔-oo x 4 = oo

A: To check limit of x3 as x→∞ To construct a table by taking larger values of x and finding…

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

Q: a) lim -Vx+7 2-x x-2 b) lim x+1 Show your work

A:

Q: a. limx0 Tn(x) ex+x b. limr-0 2ex+x2 2e*+x2 In(x) c. limx-0+

A: Given; a) limx- infinity x/ln(x) b) limx- infinity (ex+x)/(2ex+x2) c) limx- 0+ln(x)/(1/x).

Q: |4-x²| (2) limx--2- (x + 2) 2-x

A: Given function is: f(x)=(x+2)4-x22-x…

Q: limx--->0+(1/x8-1/x4). Use l'Hôpital's Rule if appropriate.

A:

Q: lim x- Vx x-0

A:

Q: x-sinx (i) lim x2

A: i) limx->0x-sin xx2

Q: lim h--->0 (f(2+h)-f(2)) / h , where f(x)=4x+8

A: Given f(x)=4x+8 So f(2+h)=4(2+h)+8=4h+16 And f(2)=4(2)+8=16

Q: (a) Find the equation of the tangent line to the curve 4x y-3x2 +5y = 10, at the point (1,-1).…

A: a)

Q: x2 - 5x limx¬0 х3 +х-2

A: Given: limx→∞x2−5xx3+x−2

Q: lim f(x) vs f(-3) а. x--3 b. lim f(x) vs f(-1) x--1 c. lim f(x) vs f(1) X-1 d. lim f(x) vs f(3) X-3…

A:

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

A:

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: 2-V2(3x+1) 2x limx-1 X-1

A: we have to calculate;  limx→12x2-2(3x+1)+2x-1

Q: How do I find the derivative using the formula: Lim h-> 0 F(x+h) - F(x) / h?  Please show the…

A:

Q: 1 f. lim-( x-→0 x`x+2 2 (1+x) -/ g. lim

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: limx-0

A:

Q: lim zx+xて Xー→3 メ-3

A: Apply L hospital rule

Q: Find the limit.

A:

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

A:

Q: limx->0+ (x^(e) -5x^(4) -3x^(6) - x^(3) +100)

A:

Q: 1,0 1,0

A: limx→a f(x)=L if and only if limx→a+  f(x) = limx→a- f(x) =L.

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

A:

Q: lim (2x-5x) is x--2

A:

Q: lim x---q x2/2x

A: limx→ qx22xPlug in the value x=q=q22q=q2

Q: lim vr +6x+1-Vx²+x =

A: We need to find the limit of given function at infinity

Q: limx→∞ x - 3 x + 1 2

A:

Q: limx→−∞ xe^x

A:

Q: limx → 1 (x-2) / (x-1)2 ii.  limx → 1 (x2-1) / (x-1) iii. limx → 1  |x-1| / (x-1)

A:

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A: Solution. :

Q: 1 lim 2 -1 x* -1,

A:

Q: Find the limits

A: Given as L=limx→∞x2+x-x2-x

Q: 7 lim 『ストフ-2 X + 3 メy-3-

A:

Q: 25+x-5 4-limx-0

A:

Q: Qz tanx) lim メ→(室-x)

A: the solution is given below

Q: 2tanx-sin2x 6. lim X0 x3

A:

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

A:

Q: lim Q3/ Evaluate -costx) 3 sec x (1+ X /2

A:

Q: lim %3D X2 -マメ

A: The solution for the above question is as shown below.

Q: x2-3x-2 limx--1 х+1

A:

Q: lim (x2 + 2)sechx X→+0

A:

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.…

Q: limx--1f(x) Let f(x) = (x² – 1)/C(x| – 1)

A: