Find the value of following limits :Limit x tends 0 ( 7^x -3^x)/(5^x -2^x)

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Take 3^x common in the numerator and 2^x in the denominator and write the numerator and denominator as separate fractions . Now multiply and divide by x and use the identity: Lim x---> 0 a^x-1/x = ln a
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