Grade 12Differential Calculus

Lim x-infinity 2^n+1 + 3^n+1 /2^n + 3^n. options are (1) 2 (2). 3. (3). 5 ….....is anyone there who can explain it full

milind

12 Years agoGrade 12

3 Answers

Rinkoo Gupta

12 Years ago

lim x-> infinity 3n+1[1+(2/3)n+1]/3n[1+(2/3)n]

lim x->infinity 3[1+(2/3)n+1]/[1+(2/3)n]

=3[1+0]/[1+0]

=3 since ainfinity=infinity or 0 according to a>1 or a<1

here 2/3<1 so (2/3)infinityis zero .

Thanks & Regards

Rinkoo Gupta

AskIIIians Faculty

Arun Kumar

12 Years ago

Hello

$\\\lim_{n \to \infty} {2^{n+1} + 3^{n+1} \over 2^n + 3^n } \\\lim_{n \to \infty} 3*{{2 \over 3}^{n+1} + 1 \over {2 \over 3}^n + 1 } \\ $now substitute n$=\infty \\=3$

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

milind

12 Years ago

Rinku gupta what will happen if a is greater than 1

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Lim x-infinity 2^n+1 + 3^n+1 /2^n + 3^n. options are (1) 2 (2). 3. (3). 5 ….....is anyone there who can explain it full

milind

3 Answers

Rinkoo Gupta

Arun Kumar

milind

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