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4. At x = 4, the function f(x): (x², x ≤ 4₁ = is (4x, x>4 A. continuous but not differentiable B. differentiable but not continuous C. neither continuous nor differentiable D. both continuous and differentiable 5. The function shown A. is continuous at x = 4 B. is differentiable at x = 4 C. has a limit that exists at x = 4 D. is continuous and differentiable at x=4

4. At x = 4, the function f(x): (x², x ≤ 4₁ = is (4x, x>4 A. continuous but not differentiable B. differentiable but not continuous C. neither continuous nor differentiable D. both continuous and differentiable 5. The function shown A. is continuous at x = 4 B. is differentiable at x = 4 C. has a limit that exists at x = 4 D. is continuous and differentiable at x=4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B. differentiable but not continuous C. neither continuous nor differentiable D. both continuous and differentiable 5. The function shown. is A. is continuous at x = 4 B. is differentiable at x = 4 C. has a limit that exists at x = 4 D. is continuous and differentiable at x = 4
Transcribed Image Text:4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B. differentiable but not continuous C. neither continuous nor differentiable D. both continuous and differentiable 5. The function shown. is A. is continuous at x = 4 B. is differentiable at x = 4 C. has a limit that exists at x = 4 D. is continuous and differentiable at x = 4
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