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## Homework Statement

Given the limit

lim(x→0) x^4 cos(5/x)

use the squeeze theorem to find g(x) and h(x) given,

f(x)=x^4 cos(5/x)

g(x)≤f(x)≤h(x)

## The Attempt at a Solution

well the limit with x=0 substituted in would mean the limit is undefined as,

0^4 cos(5/0)

(5/0) can not occur but due to the function being trigonometric the usual use of 0^- and 0^+ can not be used, i found as -1≤cos θ≤1

i have no idea how to find the g(x) and h(x) with only an f(x) function, can anyone please talk me through how to use the squeeze theorem for this problem???