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Use Weiestrass's definition of limit to show that lim (7x - 3)= 32. x-5

Use Weiestrass's definition of limit to show that lim (7x - 3)= 32. x-5

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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I need help with number 8
6. Use Fermat’s method to find a) the slope of the general tangent to the \( f(x) = x^2 - 6x + 11 \), b) the length of the sub-tangent line to \( f(x) = x^2 - 6x + 11 \) at point \( x = 4 \). 7. Use Newton’s method to find the slope of the tangent to the curve defined as \( y = 7x^2 + 4x - 10 \). 8. Use Weierstrass’s definition of limit to show that \( \lim_{{x \to 5}} (7x - 3) = 32 \).
Transcribed Image Text:6. Use Fermat’s method to find a) the slope of the general tangent to the \( f(x) = x^2 - 6x + 11 \), b) the length of the sub-tangent line to \( f(x) = x^2 - 6x + 11 \) at point \( x = 4 \). 7. Use Newton’s method to find the slope of the tangent to the curve defined as \( y = 7x^2 + 4x - 10 \). 8. Use Weierstrass’s definition of limit to show that \( \lim_{{x \to 5}} (7x - 3) = 32 \).
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