The equation
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DSE 2012 Question 16: Limits, continuity and differentiability
Answer and worked solution
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Plain-text version
The equation x⁷=x+1 (A) Has no real solution (B) Has no positive real solution (C) Has a real solution in the interval (0,2) (D) Has a real solution but not within (0,2)
Also written as: The equation x^7=x+1
Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.
What this question tests
This question is on Intermediate value theorem, monotonicity and roots, part of Limits, continuity and differentiability in Mathematics.
Using continuity and the sign of the derivative to show roots exist or are unique.
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Question from the DSE 2012 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.