Get the most out of your questions with IDNLearn.com's extensive resources. Explore thousands of verified answers from experts and find the solutions you need, no matter the topic.

Consider the following statement: if f and g are two infinitesimal functions of order 5 as x → x₀ with respect to the sample x - x₀, then the function f - g is an infinitesimal of order 5 as x → x₀ with respect to the sample x - x₀. Establish whether the statement is true or false, providing a justification for the answer.