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तत्समक फलन IN : N to N पर विचार कीजिए ज...

तत्समक फलन `I_N : N to N` पर विचार कीजिए जो `I_N(x)=x, AA x in N` से परिभाषित है। सिद्ध कीजिए कि यद्यपि `I_N` आच्छदक हैं, किन्तु फलन `I_N+I_N : N to N` जो इस प्रकार परिभाषित है
`(I_N + I_N)(x)=I_N (x) + I_N(x) =x+x=2x` आच्छदक (onto) नहीं है।

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