WebThe function g is given by g (x)=7x−26x−5. The function h is given by h (x)=3x+142x+1. If f is a function that satisfies g (x)≤f (x)≤h (x) for 0<5, what is limx→2f (x) ? B: 4. Let f be … Web1. The precise theorem you're asking about would be: If f is continuous, f ′ is defined everywhere except possibly x 0 in some open interval containing x 0, and lim x → x 0 f ′ ( …
2.4 Continuity - Calculus Volume 1 OpenStax
Web1. 1c− os. 2 (2. x) lim. x. 0 (2. x) 2 = (A) 0 (B) 1 4 (C) 1 2 (D) 1 2 for1. x <−. x fx = xx. 2. −−3f or 12 43. xx. −> for2 2. Let . f. be the function defined above. At what values of . x, if any, is . f. not differentiable? (A) x = -1 only (B) x = 2 only (C) x = -1 and . x = -2 (D) f. is differentiable for all values of . x. 00762 ... brickhouse bbq
Sample AP Calculus AB and BC Exam Questions
Web22 jul. 2024 · Yes. If \(f=f^{-1}\), then \(f(f(x))=x\), and we can think of several functions that have this property. The identity function . does, and so does the reciprocal function, … WebIt is observed that the left and right hand limit of f at x=1 do not coincide. Therefore, f is not continuous at x=1. Case III. If c>1, then f(c)=c−5 and f(x)= x→climf(x)= x→clim(x−5)=c−5. ∴ x→climf(x)=f(c) Therefore, f is continuous at all points x, such that x>1. Thus, from the above observation, it can be concluded that x=1 is ... Web27 sep. 2024 · Yes. If \(f=f^{-1}\), then \(f(f(x))=x\), and we can think of several functions that have this property. The identity function does, and so does the reciprocal function, because \( 1 / (1/x) = x\). Any function \(f(x)=c−x\), where \(c\) is a constant, is also equal to its own inverse. coverthexagon dog