पुस्तकालय कार्ड का नवीनीकरण कीजिए।

का marks a relationship like of.

So:

• पुस्तकालय = library
• कार्ड = card
• का = of
• नवीनीकरण = renewal

So पुस्तकालय कार्ड का नवीनीकरण literally means renewal of the library card.

The full sentence is literally something like:

Please do the renewal of the library card.

Natural English would usually be:

Please renew the library card.

Hindi often expresses actions with a noun + करना / कीजिए structure.

Here:

• नवीनीकरण = renewal
• कीजिए = please do

So नवीनीकरण कीजिए means please do the renewal.

This is very common in formal Hindi. Compare:

• जांच कीजिए = do the inspection / inspect
• सफाई कीजिए = do the cleaning / clean
• भुगतान कीजिए = make the payment / pay

So even though English prefers a simple verb like renew, Hindi often prefers a noun-based expression.

कीजिए is a polite imperative form of करना (to do).

So:

• कीजिए = please do
• It is polite and respectful.
• It is appropriate in formal speech, customer service, notices, instructions, and when speaking respectfully.

This sentence sounds polite and somewhat formal.

Less formal alternatives might include:

• करो = do (informal)
• करिए = polite, often considered a spoken variant
• करें = polite/subjunctive-style form, also common in requests

So नवीनीकरण कीजिए is a standard polite instruction.

का / की / ke changes according to the noun that comes after it, not the noun before it.

Here, का agrees with नवीनीकरण, which is a masculine singular noun.

So:

• नवीनीकरण is masculine singular
• therefore: का नवीनीकरण

That is why it is not की or के here.

Yes, but it is more formal or standard-Hindi.

• पुस्तकालय = library
• In everyday speech, many speakers also say लाइब्रेरी

So both are understandable, but the tone is different:

• पुस्तकालय कार्ड का नवीनीकरण कीजिए। = formal, official
• लाइब्रेरी कार्ड रिन्यू कर दीजिए। = more conversational, mixed Hindi-English

The sentence you have sounds like something from an office, form, notice, or official instruction.

Modern Hindi very often uses English loanwords, especially for everyday administrative or technical items.

So कार्ड is completely normal Hindi usage here. Native speakers commonly say:

• आईडी कार्ड
• डेबिट कार्ड
• कार्ड बनवाना
• कार्ड renew करना

Even in otherwise formal Hindi, some English-origin nouns are very common.

The sentence follows a very common Hindi pattern:

[object phrase] + [action noun] + [polite verb]

So:

• पुस्तकालय कार्ड का = of the library card
• नवीनीकरण = renewal
• कीजिए = please do

Hindi usually puts the main verb at the end, so this is normal word order.

A literal structure is:

Library card of renewal please-do.

That sounds strange in English, but it is natural in Hindi.

It is grammatically an imperative, but because it uses कीजिए, it sounds polite.

Depending on context, it could mean:

• a polite request: Please renew the library card
• an instruction: Kindly renew the library card
• a formal direction on a form or notice

So it is not rude. It is a respectful way to tell someone to do something.

A rough pronunciation guide:

• पुस्तकालय = pustakaalay or pustakalay
• कार्ड = kaard
• का = kaa
• नवीनीकरण = naveeneekaran
• कीजिए = keejiye

A rough full pronunciation:

pustakaalay kaard kaa naveeneekaran keejiye

A few helpful points:

• पु sounds like pu in put, but with a clearer u
• का has a long aa
• नी in नवीनीकरण is long
• जिए in कीजिए is usually pronounced ji-ye

Yes. There are several natural alternatives, depending on formality.

Some possibilities:

• पुस्तकालय कार्ड का नवीनीकरण कराइए।
  This can suggest have the library card renewed.

• पुस्तकालय कार्ड renew कीजिए।
  Common in mixed Hindi-English speech.

• लाइब्रेरी कार्ड रिन्यू कर दीजिए।
  Very natural in casual modern conversation.

• कृपया पुस्तकालय कार्ड का नवीनीकरण कीजिए।
  Adds कृपया = please, making it extra explicit.

Your original sentence is correct and formal.

Hindi does not have articles like a / an / the.

So Hindi often leaves that idea to context.

That means:

• पुस्तकालय कार्ड can mean library card, a library card, or the library card
• The exact meaning depends on the situation

In this sentence, English naturally uses the:

Please renew the library card.

But Hindi does not need a separate word for it.

It is common, but it sounds formal and administrative.

You will often see it in contexts like:

• license renewal
• passport renewal
• membership renewal
• subscription renewal

In casual conversation, speakers may choose simpler or more mixed forms, especially with English loanwords like रिन्यू or renew.

So नवीनीकरण is a useful word to know, especially for formal Hindi.

You can understand it word-for-word, but you should not translate it that way in natural English.

Word-for-word:

• पुस्तकालय कार्ड = library card
• का = of
• नवीनीकरण = renewal
• कीजिए = please do

So the literal English is:

Please do the renewal of the library card.

That is understandable, but natural English is:

Please renew the library card.

This is a good example of how Hindi and English often package the same idea differently.