9. lim Sin- X-) too lim In X メ→( Use Mean-Value theorem to find c X +2x-1 ; [o,i] xj[3,5] Use L'Hôspital vule to find the wmit lime tan tan 2X ×ーS○

Q: What is the appropriate form of the derivative of g(x)= -x³ – 7? g' (x) = limaz→a (-z*–7)–{(a) Az-a…

A: Given function, g(x)=-x3-7

Q: lim (x +3xy) =7 olduğunu limit tanımını kullanarak gösteriniz. (x,y)→(1,2) ||

A: Given: verify the limitlimx,y→1,2x2+3xy=7 for verifying given limit, we solve left hand side so,…

Q: х-tanx 2. lim х30 1-со 3 3. lim sinx lnx = 0 x→0+

A:

Q: -x+y lim (х,у)--(1,-3) (2x + y)e¬*+y

A: Given, limx,y→1,-32x+ye-x+y To solve the above limit.

Q: How do I compute  limx→4(x^2−6x+8/x^2−4x)

A:

Q: 1-cos' (x) lim

A:

Q: 7. et² -e-y² = }(e - e-1) lim %3D (x, y)→(1,1) x+y

A: To Determine: to prove  lim(x, y)→(1, 1)ex2-e-y2x+y=12(e-e-1) Given: we have a  problem based on…

Q: 60. lim xIn 2)/(1 + In x) X→ 00 62. lim (e* + x)'/x X→ 00

A: We will find the limits.

Q: 3 sen y lim (xy)-(3,0)

A: Since lim(y tends to 0) sin( y)/y=1 Therefore, lim(x,y)tends to (3,0) x^3sin(y)/y=(3)^3×1=27

Q: If h(x) →5 as x→ 1 and k(x) → 0+ as h(x) k(x) X→ 1 ? x → 1, then what is lim L

A: solution:-Givenh(x)→5  as x→1k(x)→0+   as x→1

Q: 19. lim (-1)"+' (") does not exist. n00

A: Given  The limit is limn→∞(-1)n+1n-1n

Q: 5X²4 JIXTEE 5. Factor the following special polynomials (perfect square trinomials and difference of…

A: Since, you have asked multiple questions as per company guidelines we will solve the 3 parts of fist…

Q: 8. lim,0 1-cos x 2x2 1 (a) 1 (b) – (c) 0 (d) ; (e) 1. -

A:

Q: 1) Let fi R²R and suppose that f: lim схіуз эс fcx, y) = 5. What can you say about the value f(1,3)?…

A:

Q: 8. Show lim tanh x =1 X→∞

A:

Q: lim,0 e2x _e-2x 'x→∞ e2x+e-2x

A:

Q: an(xy) 3D? 2. (х.у) -> (0,1) х"y+x tan lim (a) 0 (b) (c) (d) (e) 1 114 113 112

A: Given : lim(x, y) → (0, 1) tan(xy)x2y + x     To find the limit.

Q: Determine an equation for a cosine function with adjacent maximum at (60°, 5) and minimum at (150°,…

A:

Q: 3 lim z? sin(-

A:

Q: (i) Evaluate In (1-z³) lim 2->0 sin (2z

A: We need to evaluate the limit If the value of the function after putting the limit is in the…

Q: limx.

A: we have to find the limit of limx→0+x1x

Q: 4. L0-dx= (A) lim (3- 4)Ax, (B) lim 3-x)2 (C) lim (3-) 8. (D) lim (3- u)

A:

Q: *y + 1 =? lim (e,2)+(0,0) a2 + y? А. 1 В. О C. Does not exist O D. -1

A: We find the given limit by using linear path equation.

Q: 1(a)Find y' given that y In(2x + 1) + e**+5 %3D 5x2-1 b) Evaluate lim x00 2x2+1 c) Find y' if x'+ y…

A:

Q: x-x-2 6. lim エ→2 (x- 2)² 4-V16+h 9. lim

A: 6. The limit does not exist. 9. The limit is, (- 1/8)   The detailed solution is as follows below:

Q: 2x cos. X 17) lim --

A: