The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 4 √x - 4 f(x) lim x → 1 C = 2 X-1 XX

Q: If x- 2 1 lim -2 f(x) – f(2) then, the slope of the tangent line at the point (2, f(2)) is m =7. %3D…

A: By limit defination of f'(x) at point x= a

Q: 6. Consider the function f Cx)=5(o+5)-25 if X#し if xfO D.IS fCx) continuous at X-0? EXPlain

A:

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

A:

Q: If 2x – 1 < (x) <x² for 0 < x < 3, find lim f(x)

A: The solution of above question is written below.

Q: sec x lim sec(3x)

A:

Q: You are given two functions, f and g if - 2 1+

A:

Q: If 3x − 5 ≤ f(x) ≤ x² − 3x + 4 for x ≥ 0, find_lim f(x). x →3

A: given  3x-5≤f(x)≤x2-3x+4for x≥0

Q: Find the derivative of f(x)=8x - 5x+2 using first principles (i.e., use the definition of the…

A:

Q: f(x) = √x, a = 1

A: Givenf(x)=x a=1To findlimh→0f(a+h)-f(a)h

Q: limit of a function f(x) as x approaches c is always equal to f(x). True or false

A:

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A:

Q: Find lim f(x), where lim x→4 f(x)-5 X-4 X-2 = 13

A: We need to apply the limits to find the expected value

Q: x2 + 8x + 15 if x 2. lim f(x). x→2+ Find 15 20 30 35

A:

Q: If lim x-4 x-2 f(x)-5 - =1, find lim f(x) X-4

A:

Q: Apply the limit definition to find the derivative of the function, f(x)=2x²-5x+9. Not the short cut…

A:

Q: 5+x if x > 1 if – 2<x< 1 if x < -2 (A) ƒ(x) = {2 1– x2

A: According to the given function, fx=5+x, if x≥1 Thus, for x≥1, the graph of the function is a part…

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

A:

Q: Show that lim (x³ - x) = 6 in the following steps. Do not use derivatives. x-2 (a) Show: if x - 2| <…

A:

Q: 1f. lim (tanx)x x-&gt;0+

A: Given,