Let lim g(x) = 6 and lim h(x) = 8 x→4 x→4 Determine the value of the limit lim [g(x) — 10]² x→4

Q: evaluate the limit

A: Given that: The limit is limx→0 1 - 2x1x .

Q: If g(x) is differentiable at x = 1, then lim g(x) = g(1). x+ 1+ True False

A: A function f(x) is differentiable at x=a, if limit exist at x=a and is equal to f(a)

Q: (2) Use the definition of limit of a function to find lim x³-3x-2 x+2x2 - 3x+2

A: To find the limit of the function x3−3x−2x2−3x+2 as x approaches 2, it can apply the definition of…

Q: Let f(x) = 2/(2 – x) and g(x) = 8/(4 – x²) Find lim [f(x) –- g(x)] 7. a.

A:

Q: Let f(x) = x3+x. Evaluate lim s→0 (f(x + s) − f(x))/s .

A:

Q: Give the two-step method for evaluating a limit of the form lim f(x)8(x).

A:

Q: Suppose lim f(x) = L and lim g(x) M. Prove that lim [f(x) - g(x)] = L- M. Xa Xa Begin by writing lim…

A:

Q: . Let (x2 + 1 f(x) = 1( - 2)² if x> 1 if x<1 (a) Find lim,-I- f(x) and lim,→* f(x). (b) Does lim ,1…

A: Given: For (a),     limx→1- f(x)=limx→1 x2+1=12+1=2 and     limx→1+ f(x)=limx→1 x-22=(-1)2 =1

Q: If lim f(x) = 16 and lim g(x) = 24 then x8 lim[3f(x)g(x) – 7] = O 1159 O 1152 O 1145 O 216 O 32

A:

Q: If 2x < g(x) < x* – x² + 2 for all x, find lim g(x). x-1

A:

Q: Find lim f(x) if x →∞ 4x - 1 X f(x) 5.

A: