Let f(x) be a function such that lim f(x) = 0 and lim f'(x) = 3. Then x →0 x-0 equals 2 3√2 3 0 f(x) lim x+0 tan(2x)

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

A:

Q: Determine lim f(x) assuming that cosx < f(x) < 1.                   x→0

A: We first apply limit x approaches 0, on all sides of the given inequality.

Q: Find the absolute f(x) = extrema of x + 4x + 2

A:

Q: f(x+h)-f(x) Given a function f(x),the derivative is given by f(x) = lim h-0 Let f(x)=V 3x-2 be a…

A: The derivative of a function is defined as, f'x=limh→0fx+h-fxh The function is given as, fx=3x-2 It…

Q: Let f(x) be a function with all of the following properties. Sketch a graph of y = f(x). Explain…

A: given that the function f(x) is a function with the following properties: a) f(-1)=2, f(1)=1 and…

Q: If lim f(x) = = co then f (x) XCOS cos² X00

A: Given- If limx→∞fx=∞ then fx=xcos1x To Prove- The above expression.

Q: Let       f(x)= 2x-2  if x0+  f(1+h)-f(1)/h Evaluate Lim h-->0-  f(1+h)-f(1)/h Is the function f…

A:

Q: Find the values of the constants c and k that the function make lim f (x) and lim f(x) x-2 X-1…

A:

Q: Use the limit definition of the derivative to show that the derivative does not exist at x = a for…

A:

Q: Consider the piece wise function – x² + 16 x 4 VI

A:

Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: Let f(x) = Prove that lim f(x) = 0. x →0 sin x + sin 3x + sin 5x, if x is rational, 0, if x is…

A: We need to prove that limit is zero.

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

A: Given :          limx→0tanx-xx3

Q: Let f(x) be the following piece wise function f(x) = ( x ² + => if 0 1 Show lim f(x) does not exist…

A:

Q: Find lim x→-3 sin(−4 π x)   lim x→-3 sin(−4 π x)

A:

Q: Is there a function f such that limx→1 f(x) = 0 and limx→1 f(x) (x-1)³ = -∞?

A: To find:- A function f such that limx→1fx=0 and limx→1 fxx-13=-∞

Q: The graph of f is given. Use the graph to compute the quantities asked for. (If an answer does not…

A:

Q: Find lim f (x) if, for all x, 9 cos (4x) <f (x) < 8x2 +9. lim f (x) = %3D

A: The given inequality is: 9 cos(4x)≤f(x)≤8x2+9

Q: Let F (x) = { tan (x − 3) x < 3 x-5 3 ≤ x Then lim F(x): x 3- = CH M₂ 146

A:

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is…

Q: tan(31x) lim x → 0 5x

A: