stn (s-1) +5-2 39. lim a. 0.33 C1 d.033

Q: 10. lim, [(2)(x²+x-5)] A. -6 B. 0 C. -2 5 D. 4

A:

Q: lim z?= 1 0 2 0 -2 O -1 0

A: To find limz→iz2.

Q: Vh? + 15 – Vh + 15 Vh + 3 – 2 - (b) lim h→1 Answer: 1/2 -

A: L' Hospital Rule :If we have indeterminate form of the type 00 or±∞±∞ ,Then…

Q: h3 + h² – 8h – 12 2) lim h→3 h³ – 4h² – 3h + 18

A: Given the query is to find the limit of the expression.

Q: 2y³ + 5y² -7 2- lim, c∞ 10y3 - 9y+12 0.1 0.2 O 0.4

A:

Q: 6h lim-0 tan4h

A:

Q: dy 2ty ii) 12+1 - 21 – (2 – In(t² +1)) = 0; y(5) = 0

A: Differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x Given differential…

Q: D-16 2. Lim Z2-1 / Z2+3Z-1 Z- -16 3. Lim (2w+w? / w²+4

A: y→16limy2-y-2y3-6y2-7y+1 At first we will factorize the numerator and the denominator, but we can…

Q: 5X-T 8. lim -y% = - y-n x+5 a) 0 (b) DNE (c) -n (d) None of these

A: Here y is approaching to π .

Q: e 3x (d) lim X→0 5x+200

A:

Q: lim e5t -1 / t =? t-->0

A: Given,

Q: lim yn2 +n -n=0

A: Limit problem......

Q: пу-1 TT 6. lim y→0_2y² + y(e2™y-1)

A: Indeterminate Forms: The symbols like 00, ∞∞, 0·∞, ∞-∞ are called indeterminate forms L'Hospital's…

Q: 6x c) lim 10 4r – 7

A:

Q: 21 – 17x + 35 x- 5 3 lim .. A. D. 9 В. 5 С. 7 Е. 11

A: We can make it easier for you.

Q: dt 22. lim is x2 - 16 x-4 (A) – el6 (В) 2 e16 (C) 16el6 (D) nonexistent

A: Given: L=limx→4∫4xt2et2dtx2-16 For evaluating given limit, we use L hospital's rule According to L…

Q: N 3s2 – 4s – 4 lim V→∞ s=1 N³

A: Follow the procedure given below.

Q: Evaluate the limit.

A: Given that limt→-∞4+6e2t5-9e3t. Compute the limit as follows.

Q: 3. 15. lim y- y+4

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 8+x-4x? Lim\ belowr → 0∞ V6+x²+7x* O a. -4/7 O b. 4/7 O c. 4//7 O d. -4/7

A:

Q: (a) im z6メ+5) メラ-S メ-25 lim メマロ Siho) tim 3メニ2 メ行ー

A:

Q: 26) lim √√x-3 x-9 x-9 A) -10 B) 1 6 C) -2 D) 5 16

A: we have to find limit.

Q: 3x+x Q2) Evaluate limy+o 2-8

A:

Q: 10. lim e3x-1-3x is (A) 0 (B) 1 (C) 4.5 (D) 9 oldong ooa no ow bilov worla (E) nonexistent

A: We have to find limit

Q: 22-3r 10 d) lim z5 r2 -r - 20

A:

Q: h 4 (b) Lim h-0 V5h + 4 - 2

A:

Q: 2.limт(x—1^-) [ 1/х^2-1) ] - ミ* a. -00.. b. 00 С. О. d. 1.

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Consider a function fx Let limx→a fx exists, then, we have, limx→a fx=limx→a+ fx=limx→a- fx Also, if…

Q: x² + 8x – 9 4. lim z-1 r3 – 2x2 – 5x + 6 t3 – 7t? + 16t – 12 - 5. lim t→2 t4 – 4t3 + 4t² |

A: Given: 4.limx→1x2+8x-9x3-2x2-5x+6

Q: lim,+-1 f(x) = $1 # 1 affe # HE 3 52 #1 0 EM 0

A: The objective is to evaluate the limit.

Q: a +b° + c° limy- 3 8.

A: the given limit is ,                     lim(x→∞ax+bx+cx3)1x in order to find the limit first take…

Q: y + 6 21. lim ソ→6+ y2- 36

A:

Q: B. lim, 0+(1 + 2r)In(2=)

A: Given: limx→0+1+2xln2x   As we know from the limit rule; If the limit is limx→afxgx and it result of…

Q: n³ – 2n2 + 4 (c) lim -n4 + 4n3 + 5n2 – 2n + 5 n-00

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: e? – 1 – z lim 2 z-0

A: The given problem is: limz→0ez-1-zz2

Q: 2. lim 七や~1 Sx?+3-2, zー1

A: To Find the Limits of function 2.) limx→-1 x2+3 -2x2 - 1

Q: ex -e* lim 4 x-2 x-2

A:

Q: 2- lim, c∞ 2y³ + 5y²-7 00 10y³ – 9y+12 O 0.1 O 02 O 0.4

A: Given limy→∞2y3+5y2-710y3-9y+12

Q: b. lim X-0* e -3/x 2 X²

A: Please see the attachment

Q: /10-х - 2 8. lim x-2 х+2 А. 1/12 В. -1/12 С. -12 D. DNE

A: The given function is 10-x3-2x+2. We have to find the limit of the given function at x=2.

Q: 5n³ + (–1)". If y = lim 4n³ + 2

A:

Q: 2x So" et (c) lim (d) lim (3r +e") 2

A:

Q: z2+3 lim- iz Z+2 7i0 7/2 4 7/2

A:

Q: lim / exp(-nz)r*dr = 1. 2.0 3. 4.4 1 2 3 4

A: We know the result that : limit of integral is equal to integral of limit. Use this result to find…

Q: x? + 4 Find Lim- x-0 2e* + 1 4 А. 3 В. оо 3 D. 4 С. О

A:

Q: 22 - r - 2 4. lim 40 r – 6r² – 7r+1

A:

Q: 3) lim (x- 3x + 4) 4) lim -V2x-2 A) -5 C) 0 B) 2 D) 7 A) V12 C) 2 B) -7 D) -6

A: 3.

Q: 3 lim h→0 3h + + 1

A: Here we have to evaluate limh→033h+1+1

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.