Fast pls solve this question correctly in 5 min pls solve asapSub 1. Let f(1/n) = n for positive integers n and f(x) = 0 otherwise. Determine whetherf(x) dx = lim m. [ f(t)X-+0+f(t)dt.2. Show that -In(1-x) <₁ for x < 1.

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Answered: 1. Let f(1/n) = n for positive integers…

Linear Algebra: A Modern Introduction

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ISBN:9781285463247

Author:David Poole

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Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

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1. Let f(1/n) = n for positive integers n and f(x) = 0 otherwise. Determine whether f(x) dx = lim m. [ f(t) X-+0+ f(t)dt. 2. Show that -In(1-x) <₁ for x < 1.