3" - 3-* lim, 3+3* x? -1 f(a+h)-f(a) Given: f(x)= Find: lim x' +1 h

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

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

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

A:

Q: Find lim Itcos 2X メ 니(x- 폰) 2

A:

Q: lim2

A: Explained below

Q: lim 2x

A: Given: limx→∞2xx+1-1

Q: xª + x³ – 2x +1 Find lim 00 214 — Зх3 + 5x2 + 1'

A:

Q: Lm x+h -区 メ+h -x , h#o.

A:

Q: -2x² + x 41. g(x) y 3 - 1 -2 - 1 (a) lim g(x) (b) lim g(x) *→-' 1.

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Sin Q5: Find lim,¬6 x-3

A: Given:         limx→6sinπxx−3

Q: (Inx)? lim

A:

Q: x→0 cot3

A: we are given  limx->06x cot3x which is = limx→06x( cos3xsin3x) if we apply limit we will get…

Q: x²+x-2 1. lim X-o 4x-1

A:

Q: What is lim x-->2 f(x)

A: Here we will see the graph and answer as per that....

Q: (x+2)2 - 4(x+5) limx x- 4

A: Given,             limx→4x+22-4x+5x-4

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

Q: Find Lim 5e*²-2x

A:

Q: (d) lim x/x

A: Given: Let y=limx→∞ x1x To Find: To evaluate the given limit.

Q: 2/3 x2/3 – 1 13x + 41-1지-4 Evaluate lim 38. Evaluate lim -11 - V

A: Hello, thanks for the question. Since we’ll answer the first question as the exact one wasn’t…

Q: (1 + +)" =- 65. lim

A: To show: limn→∞1+1nn=e

Q: 5 4 2 -a 5 -4 -3 -2 -1 1 2 3 4 5 a 7 -1 -2 -3

A:

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: Section 7.5 Homogeneous systems Constant Coefficients: Problem 3 Previous Problem Problem List Next…

A: Given system is ,              dxdx= -1.6x+1ydydt= 1.25x-3.6y  ⇒      x'(t) = -1.6x+1y…

Q: For the function shown in the graph, find the indicated function value and limit. O A. Does not…

A: Consider the graph

Q: lim as x goes to -3 of (4(2x+1)^2-100)/x+3

A:

Q: 2tanx-sin2x 6. lim X0 x3

A:

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

A:

Q: 1. lim x-2 (2x + 3)

A: 1. To find the given limit limx→ 22x+3

Q: Find Lim 5e*-2x x-0 A. 5e C. 5 D. 0 B.

A: Solution

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: