f(x + h) – f(x) f'(x) = lim h-0 %3D h bsnd Diffeentinble A) 7xh2 B) 9x2h C) 5x2 D) 9x2 5) Given (x") '=axa-1 for any real constant exponent a. (x+h}10 - x10 Find lim h 0 - A) 9x10 B) x C) 20 x D) 10x9

Q: x²-2x-3 lim a. (x-3)3 2-2r-3 x-3 (x-3)' x² - 2x-3 b. lim x² - 2x-3 lim 33 (x-3)3 c.

A: x→3+ limx2-2x-3(x-3)3=x→3+lim(x-3)(x+1)(x-3)3=x→3+limx+1(x-3)2=∞

Q: Find the limits

A: We will find the limit by substitution

Q: 2-limx-o(x. secx.cscx)

A: To find the limit of the following.                                     limx→0 (x sec x csc x)

Q: lim X->2 x²+3x-10 x²-4 = ?

A: To Find :The above limit

Q: x-1-2 2) lim 1 1 Xー 2 2,

A:

Q: Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

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

Q: Зх — 4 1. lim 2х+1

A:

Q: In(1+ 3x²) lim ex -1

A: Given that:  lim(x tands to 0) [ln(1+3x2)/ex -1] Here i attached solution of this question.

Q: IF FLX)= and Lim F(X)6 F(-)=2 b X<l Find a,b when X#0

A:

Q: lim x-0 (cos20x) 7/20x^2

A:

Q: whatin Lim (19x) tan(3x メ→0 2.

A: The limit is limx→0+9x tan3x+π2. Factor out the constant term.  limx→ 0+9xtan3x+π2=9·limx→…

Q: '5x2+3х-1) lim = 4x2+5) n-00

A: Divide the numerator and denominator by the highest power i.e. x^2 and simplify the limit.

Q: 4x3-2х с) lim x→00 V2x4+1

A:

Q: Lim X-70 (1 + 1/2 ) ²

A: Solution:  we have, to evaluate

Q: x+2 lim sin - x+6x+8 3 2.

A:

Q: 8) lim- x+1 2x²+2x+1

A:

Q: Find the value of lim (x' – x + 3) (a) 3 (b) 1 (c) -4 (d) -2 (e) -8

A:

Q: S 3x + 2 x² + 3x – 1 I-2 |

A: Given that: f(x)=3x+2            x&lt;-2x2+3x-1   x≥-2

Q: lim

A:

Q: (sinx -) (3sin²x -sinx +1) lim TE +X, 2

A:

Q: EVALUATE : 1-COS2(X - 2) LIM X-2 X - 2

A:

Q: 7) lim (-2x3 + 3x-1) X=00

A: We have to find limx→−∞​(−2x3+3x−1).By applying Infinity Property that…

Q: 7. lim (x2 + 1)i – x

A:

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

A: