3. er dis proue that @ r} f:M,Ma is a Conto functio'n, then &e each closed Set yÇ M,, O Ewery b. we have fcy) is closed odd function has at least one neal ノ 9. Euery noot. © f(x) =x+3x (satis fy the intermediate value theoremlor( has at irast one neal oot) Eveny even funclion has at least owe nel not,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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prowo
@ r} ?:M,-Mz is a Cont. functio'n, then o each
closed Set yC M,, we hue fcy) is closed
O Euery odd function has at least one real
noot.
© fx) =x+3x (satis fy the intermediate value
theoremlor( has at irast oe neal ot)
Eveny even funclion has at least one neal neot:/
ev dis proue that
Transcribed Image Text:prowo @ r} ?:M,-Mz is a Cont. functio'n, then o each closed Set yC M,, we hue fcy) is closed O Euery odd function has at least one real noot. © fx) =x+3x (satis fy the intermediate value theoremlor( has at irast oe neal ot) Eveny even funclion has at least one neal neot:/ ev dis proue that
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