If

StartRoot $10$ minus $7$ x squared EndRoot$107$x$2$less than or equals$$f left parenthesis x right parenthesisf$($x$)$less than or equals$$StartRoot $10$ minus x squared EndRoot$10$x$2$

for

minus$1$less than or equals$$xless than or equals$1,$

find

ModifyingBelow lim With x right arrow $0$ f left parenthesis x right parenthesislimx$0$f$($x$).$

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Part $1$

ModifyingBelow lim With x right arrow $0$ f left parenthesis x right parenthesislimx$0$f$($x$)$equals$=$enter your response here

$($Type an exact$$ answer, using radicals as$$ needed.$)$