lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: lim 2x

A: Given: limx→∞2xx+1-1

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

A:

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: V7x* +4x' -x² -2 lim x³ - 2x² -3x+1 4x-x²-2 x -0

A: Solution:

Q: x²+x-2 1. lim X-o 4x-1

A:

Q: Let g(x) = x^2 - 3 and h(x) = 2x + 5. Find h(g(x)).

A: topic - composite functions

Q: lim x→-4   x2-16/x+4

A: The given function is f(x)=  (x2-16)/(x+4)The limit of the function is to be calculated

Q: lim (4x2 + 2x + 5) = 5x→0

A: We will plug x=0 in place of x

Q: Find 2-Vx2-5 lim X-1 x+3

A:

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: lim (2x-5x) is x--2

A:

Q: V5x+4-3 3) lim X-1 x-1

A:

Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

A:

Q: 2x2-3x-2 1. lim x→2 x-2

A:

Q: Calculate lim X→-2 x³ + 2x² - 1 5 - 3x

A:

Q: x*+x3 2. Calculate lim x→0 12x3+128

A: limx→∞x4+x312x3+128

Q: lim = e7x- e6x/ex-1 x>0

A:

Q: lim +0+ -3x4-12x

A:

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: where is the function (5+x) / (x(x-2)) discontinuous?

A:

Q: lim (5x + 2) = 17x→3

A: We will find the limit by substitution

Q: lim (1 – 3x² )= x-2 а. -13 b. 11 С. 13 d. -11

A: By the linearity of limit of a function we can solve the given problem

Q: d. lim f(x) %D X-3-

A:

Q: 3x(x - : lim Tx - 1| X1+

A: Replace the value of the limit and x.