pef. Find lim, - o[cos(-)+2xsin(=). )+2xsin(=)). A O 1. BO .C O does not exist D O

Q: 1. If f(r) = , do the following: %3D iii) What is lim

A: Given Function, f(x)=1x

Q: Let A E Ma(R), where d E N. Find A lim ( Id + n

A:

Q: Q3:- find the erea of the shap by the order 1- SS dydx 10

A: Please refer the attached image for complete solution.

Q: Calculate the limit: lim e + e- 2 : 01 – cos(12a) 36 b) 00 c) O1 d) O72 1. e) 72

A:

Q: Q.4: (A) Show that Lim t'i = 4 i t >2

A: The given symbol is the symbol of the limit of the function at the given point of limit.…

Q: When demonstrating that lim I- -1 2x + 4 = 2 with e 0.5, which of the following 8-values suffices?…

A:

Q: Find the limit. j+ tan(5t) k sin?(t) lim e-6t i +

A:

Q: Which of the following expres zy 0 = .lim(z,9)¬(0,0) F+ y²

A: Let us substitute: y = mx Then we get, Limit as (x, y) tends to (0, 0), [(xy)/(x2 + y2)] = Limit as…

Q: Find the following limit. 2- 4t – 5 lim t - 5 t+5 answer =<

A:

Q: For B = – lim r² -1 6 sin z which one is B?

A: In this question we have the limit for B.

Q: Show: ( (|fl2 – €)² < lim sup E If (n) < (I|fl2 + e)² , Where ƒ E C(R | Z; , c) n=-N

A:

Q: Which of the following statement(s) is TRUE? 1. lim,0 = 1. x2 V1-x? II. lim,→1 does not exist. 2а —1…

A:

Q: Given lim (0,y)→(0,0) x4 + y? 1 and lim (2,22)→(0,0) x4 + y? 2 does lim (2,y)→(0,0) z1+y? exist?…

A: We have to find whether lim ( x, y ) tends to ( 0, 0 ) x2y / ( x4 + y2 ) exist or not .

Q: lim, yo(Vr? + ¤ – r)=? .2 a. Limit does not exist O b. 1/2 O C. 00 O d. 1 O e. 0

A: Solution: The objective is to find the value of the given limit

Q: For B = - lim 0+6 sin z which one is B? Türkçe: B- - lim 0+6 sin olmak üzere B aşağıdakilerden…

A: Find B=-limx→0+xx-16sinx

Q: Compute the following limits if they exist ৪+ i2 Lim 2→-2i Lim Re 2

A:

Q: Show with e and 8 that lim (t2 – t – 1, t? – 2t – 2) = (5,6) t→-2

A:

Q: Which of the following 1. lim(z,v) (0,0) 7+

A: Let us consider, y = mx Then we get, Limit (x, y) tends to (0, 0), [(3x2y)/(x2 + y2)] = 0 Thus the…

Q: Which of the following statement(s) is TRUE? 1. limr→0+ = 1. x2 1-x2 II. limr→1 does not exist. x-…

A:

Q: Sirlw)dk= f (x) κ= lim Σ fx%) Δx 25.) Use the definition, -2x n+00 i=1 to evaluate Σ Ei=" (n+1) Eř="…

A:

Q: x is the distance 1:- Show that the from morm Il x|l o7 2 to

A: We have to show that x of x is the distance from x to 0 Hence, x can e written as x−0 x=x−0 The…

Q: Given that J(9, -4), K(6, -10), L(1, -1), and M(x, 4), find the value of x so that JK LIM.

A:

Q: find the following limits a/lim cos(0)-1 Os0 sin(e)

A:

Q: For what integers m and n does both lim f(x) and lim f(x) exiat : x →1 mx? + n, x 1 %3D

A: for what integers m and n does both f(x) and f(x) exist:

Q: Use the L' Hospital Rule to find : lim In ( csc? x) x → 3n (2 (x -37/2)2 lim Ja'y +a-a 8h - (1…

A:

Q: e n Show that for any &> 0 and S, ₁X₁, lim P(S₁-0 ≥ 8) = 0. =

A: We will use Chebychev's inequality to find the required limit of probability.

Q: if it wass and %3D + 2 H nEN 2 then lim (Xn)

A: In the given question we have to find the limit of the sequence xn as n→∞and the recurrence relation…

Q: lim, ,0 Ttan(1/r)=? O a. Limit does not exists O b.0 O c.00 O d. 2 O e. 1

A: Given, limx→∞xtan1x

Q: (3 + 5y +7{ ) 2+y? 200 + y02 exists if lim r)(0.0)

A: This is a problem of multi variable calculus.

Q: Let f(2) = C, be the upper half eircle J2| = R in the counterclockwise direction with R>1, and /= ,…

A:

Q: Which of the following limits is equal to a4 dæ? E(3+ 1 A lim n00 k= 2 B lim 3+ n00 k= 2k 3+ 1 lim…

A:

Q: Q) Find the limit of the following 1 lim 1+ Cos–

A: Given: limx→∞1+cos 1x To Find: The value of the given limit

Q: Let 6. B(t) = ift < 2 %3D t+c ift22. Find the value of c so that lim B(t) exists.

A: The limit of a function exists at point x=c if the left-hand limit is equal to the right-hand limit…

Q: Now we have the following. (If an answer does not exist, enter DNE.) 15 3+ 15n? lim lim n- nn+ 13n…

A:

Q: Solve the following limits. (a) lim r In x (b) lim 2+ sec (3x) (c) lim 7/6 tan (3I) –1

A:

Q: Find the following limit. t2 – 2t – 35 lim t+7 t - 7 answer = <

A: The given limit function is: limt→75t2+t-2,t2-2t-35t-7,4·cos(t) Find the value of the given limit…

Q: 4. lim (cos t)e COS

A:

Q: For B lim which one is B? 6 sin z Türkçe: B lim olmak üzere B aşağıdakilerden 6 sin z hangisidir?…

A:

Q: Q14. The value of lim et3 -x tan x-cos x x2 is? -

A: use l hospital rule for solving for the integral.

Q: a²z If z = arctan ), find ( ay?

A: Given,           z=arctanyx= tan-1yxTo find           ∂2z∂x2+∂2z∂y2=?

Q: Which ONE of the following statements is TRUE with regards to lim (x,y) → (0,0) sin (xy) x² + y²

A: The correct answer is option D.

Q: If 2 - x s g(x) s 2 cos x for all x, find lim,0 8(x).

A: Given,               2-x2≤g(x)≤2 cos(x), for all x And we have to find,      limx→0g(x)

Q: e 2t In (1+7) t lim t→+o t1/2

A: Let L is the value of given Integral.

Q: → レしし Q2: Let c E R and let f be defined for x E (c, ) and f (x) > 0 for all x E (c, co) Show that…

A:

Q: Sohe The esurhons -| :) dy Lと

A:

Q: Let f(x,y)= lim f(x,y)? (23) (0,0) x+2y² Which of the following is true about

A:

Q: Prove the following: If 0 < a < b, then lim,∞ (a" + b")" = b. %3D Civen L

A: Solution

Q: 1 – cos(x² + y?) x2 + y? - lim (x,y)→(0,0)

A: Given lim(x,y)-&gt;(0,0)1-cosx2+y2x2+y2 find out the limit if it exists

Q: Find the limits by rewriting the fractions first.

A: We have to find: