Let (a) Find lim f(x) #0+ = 7 sin(x) I +5c 3x6 #≤0 (b) Find the value of c if f(x) is continuous at x = 0. и

Q: Q:Discuss the continuity of the function f(x) =lim+ sinTt x)" - 1 n- (1+ sinTt x)" +1 at the point x…

A:

Q: Re Prove directly from definition that it f is a positive function so that lim +(x)=16, then…

A:

Q: Find the limits lim tan x x→(7/2)

A: The limit of a function fx at x=a is given by: limx→a fx=fa Also, the left hand limit of a function…

Q: 3. Use the Squeeze theorem to prove that lim x- sin () = 0. Explain thoroughly. x0 (Hint: Use f(x) =…

A:

Q: f(x): = ax² + x - b, ax + b, 2ax - 7, (a) Find the values of a and b such that f is continuous on…

A:

Q: 61. Let f(x) = x/x for x > 0. (a) Calculate lim f(x) and lim f(x). (b) Find the maximum value of f…

A:

Q: 3. Find the interval on which the curve of y= 2 1+3t+t² dt is concave up.

A: Second derivative is positive.

Q: 3. If f is a continuous function, what can you say about lim f(x)?

A: Given thatf is continuous To determinelimx→1f(x)

Q: Use the Squeeze Theorem to show that lim x2 co X-0 cos(207TX) = 0. Illustrate by graphing the…

A:

Q: Find lim f(x) and lim f(x) for I-2 x² + 2x I < -2 Vr + 2 4x – 2 2<I f(x) = -2 < x < 2 -

A: Topic- limits

Q: 2. Consider f(x)=x² – 4x + 2 a) lim f(x) x-2 b) lim f(x) x-4 c) lim f(x) We X-1

A:

Q: I +b if x > 2 2) Suppose f(x) ={a if x = 2 if r < 2. (a) Find the value of b if lim f(x) exists. (b)…

A: Solution

Q: tan(31x) lim x → 0 5x

A:

Q: Find the limits lim x→1- sin-1x

A: