2 i (z-i) lim Z. z²+1 1 O 2i 1 - 1

Q: c) x³+1 lim x-3 x+1 4x³+1 x→ c 5x3_1 f) lim

A: To find:-(c) (f)

Q: Find 23 + 8i (а) lim z-2i z2 + 4

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

Q: z2+1 _ lim- z4-1 %3D

A: TO SOLVE THIS QUESTION WE HAVE USED L' HOPITAL RULE

Q: 42² (z−1)² 2 lim z →∞

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

Q: lim x-0 1+x−1

A: Given problem:-

Q: 2 z² +4 lim z 2i 2z²+(3-4i)z-6i

A: L'HOSPITAL RULE. L’Hospital’s rule is a general method of evaluating indeterminate forms such as 0/0…

Q: iz³-1 lim - 3 z →i z+i

A:

Q: Evaluate limx→−1 11/123 Does Not Exist O 0 O 1 2 x+2-1 x+1

A:

Q: lim ax+ 1 is X->0 (d-x)(+x) - 4 ©- a d) DNE Оа O d O b Ос

A:

Q: + -7 -6 5 -4 -3 -2 limx→ 3- f (x) = limx→ 3+ f (x) limx→-3 f (x) f(-3) = + -1 7 6 5 4 3 2 1 + -1 -2…

A: Given: To Find: To evaluate the following: .

Q: lim I→0 √2+11-√11 I

A:

Q: lim Ho eda + 2r lim 12/(1-1)

A: 1.. To find value of limit fist check weather it indeteeminant form or not. If it is in 0/0 or…

Q: x2 – 49 lim x→-7 x + 7 1 14 -14 1 17 O -7 O 343

A: let L=limx→-7x2-47x+7

Q: x+1 Evaluate lim V3– x - 2 x→-1

A:

Q: tan (x – 2) sin(r – 2)4 Evaluate: lim -

A: we want to find the value of limit   limx→2tan2(x-2)sin(x-2)4

Q: e2t +1 Find lim t+0o e2t – 1

A: we use concept of  e-∞ = 0

Q: t + 3 24. lim 2t2-1 t 0∞

A: Given:

Q: Show that when T(z) = az+b cz+d where (ad - bc ‡ 0), find lim T(z) = ∞ if c = 0. 7-3

A:

Q: т? + 2л — 8 lim с+2 х? — х — 2

A: Given: limx→2x2+2x-8x2-x-2

Q: 16-2 Evaluate: lim +4 V12+-a dne O 2 12 3 14

A:

Q: 1-z What is lim = ? !-2!- +2 1-i i-1 2 i+1 i-1 2i 2. 2.

A: Option (b) is correct

Q: x2 – 81 lim | I-9 x + 9 1 21 O -18 6- O 729 1 18 ||

A: Solve the limit.

Q: 2x and lim x→3- x - 3 2x Find lim x→3+ x – 3 -

A: Topic- limit

Q: 5x? + 5y² - 2 Find lim (x.y)-(4, – 1) x? +y² +5 5x2 + 5y² - 2 lim (x.y)-(4, - 1) x + y² + 5 (Type an…

A: lim(x,y)→(4,-1)5x2+5y2-2x2+y2+5

Q: v? – 4 lim v2 v3 – 8 .2 - 4

A:

Q: 12 -9 V5r2 – 21 (а) lim I+3 1 + 2x – 15 (b) lim 10-т

A: We need to find following limits which can be calculated by simplifying the expressions and then…

Q: 2(22 + 1) lim z-i z2-3iz-2 Select one: O a. 4. O b. 4i. O c. -4. O d. -4i.

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.